# In triangle ABC, angle B is four times as large as angle A. The measure of angle C is 12∘ more than that of angle A. Find the measures of the angles.

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1. ### Algebra, HELP! PLEASE!

In triangle ABC, angle B is four times as large as angle A. The measure of angle C is 12∘ more than that of angle A. Find the measures of the angles.
2. ### algebra

In any triange, the sum of the measures of the angles is 180degrees. In triangle ABC, angle A is four times as large as angle B. Angle C measures 20degrees less than angle B. Find the measure of each angle.
3. ### Algebra

One angle of a triangle is 2 more than four times as large as the other angle. The third angle is three times the first angle decreased by 6. What is the measure of each angle? x+4x+2+3x-6=180 7x=180+6-2 7x=184 x=26.3 angle 1: 23.3, Angle 2: 107.1, and angle 3: 71.9 Are the ...
4. ### cwi

The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, the measure of angle A is 70° more than the measure of angle B. The measure of angle B is twice the measure of angle C. Find the measure of each angle.
5. ### Algebra

In triangle ABC, the measure of angle B is 8 degrees more than three times the measure of angle A. The measure of angle C is 37 degrees more than the measure of angle A. Find the measure of each angle. What is the measure of angle A__? What is the measure of angle B__? What is...
6. ### Algebra

One angle of a triangle is 2 more than four times as large as the other angle. The third angle is three times the first angle decreased by 6. What is the measure of each angle?
7. ### Algebra 2

In triangle FGH, the measure of angle G is three times that of angle F. The measure of angle H is 20 degrees more that that of angle F. Find the angle measures
8. ### Col. Algebra

I'm needing help with understanding /solving this problem. Can you please help? In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 20 degree greater that that of angle A. Find the measure of the angles.
9. ### geometry

obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC.
10. ### math

In triangle ABC, the measure of angle C is five times the measure of angle A, and the measure of angle B is 26° more than the measure of angle C. Find the measure of each angle of the triangle.
11. ### geometry

Triangle ABC has the following angle measures. Angle A = 44. Angle B = 4x. Angle C = 2x + 16. Find the measure of angle C.
12. ### Algebra

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
13. ### Algebra

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
14. ### Algebra2

in the triangle ABC, the measure of angle b=21 more than three times the measure of angle A. the measure of angle C=54 more than the measure of angle A. find the measure of each angle
15. ### Geometry

Given: obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle ABC?
16. ### algebra.

problems about angles: Hi. I needed help on some problems for the math section that we are doing in class. I am trying out some problems in my math book, but they prove quite difficult. 1. In a certain parallelogram, if the measure of one angle is 30 degrees more than the ...
17. ### algebraic equation and inaqualities

in a triangle XYZ,the measure of angle Y is 40 more than the measure of angle X.the measure of angle Z is 10 less than three times the measure of angle X.find the measure of angle X
18. ### ALGEBRA

In triangle ABC, the measure of angle B is 27 degrees more than three times the measure of angle A. The measure of angle C is 48 degrees more than the measure of angle A. Find the measure of each angle.
19. ### math

A triangle has angles described as followed: the first angle is four more than seven times a number, another angle is four less than the first and the third angle is twice as large as the first. What are the sizes of each angle. I got the first angle of the triangle but I am ...
20. ### math geometry

in a triangle, the measure of the first angle is four times the measure of thesecond angle.The measure of the third angle 78 more than the second angle. What is the measure of the first angle?
21. ### Math

'one angle is 4 times as large as another angle of the same triangle. the third angle o the triangle has a measure of 60 degress.' what are the measures of the other two angles in the triangle.
22. ### Math

Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four more than three times the measure of angle 4. Find the measure of each angle.
23. ### algebra 101

If The sum of the measures of two complementary angles is 90° and If one angle measures 15° more than twice the measure of its complement, find the measure of each angle. What is The measure of one angle is 1 times the measure of the other. Find the measure of each angle. ...
24. ### math

the second angle of a triangle is twice the first angle. The third angle is five more than four times the first angle.Find the measure of the second angle.
25. ### Algebra 2 review

In triangle ABC, the ratio of the measure of angle A to the measure of angle B is 3:5. The measure of angle C is 20 more than the sum of the measure of angles A and B. What is the measure of each angle in triangle ABC?
26. ### algebra

The angles in a triangle are such that the measure of one angle is 10° more than the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles, in degrees.
27. ### Geometry

ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC (in degrees)?
28. ### Geometry

ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC(in degrees)?
29. ### math

the measure of angle 1 is five less than four times the measure of angle 2. if angle 1 and angle 2 form a linear pair, what are their measures?
30. ### GEOMETRY (Angles) PLEASE

in triangle ABC, angle b is 5 more than twice angle A and angle C iss 35 less than three times angle A. Find the angles of triangle ABC
31. ### math

in a triangle the sum of the angle is 180degrees. if angle A is three times angle B and Angle C is 10 degrees more than twice Angle A. Find the measures of the three anges to the newarest degree
32. ### geometry

Given a triangle the middle size angle measures 8 degrees more than twice the smaller angle. The middle size angle measures 44 degrees less than the sum of the smallest and largest angle. Find the measure of each angle of the triangle.
33. ### geometry

In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 84 degrees more than the second angle. what is the measure of the first angle?
34. ### Math

In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 84 degrees more than the second angle. What is the measure of the first angle?
35. ### Geometry

Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not= 60 degrees Plan: use indirect proof Assume temporarily that Measure angle A = 60. Then measure angle C=60, and measure angles A+B+C=180= 60+B+60=180. Therefore the temporary assumption that measure angle A=...
36. ### MATH

In a triangle ABC, angle B is three times angle A and angle C is 1 less than 6 times angle A. Find the size of angle A, B, C
37. ### algebra

in a triangle abc, the measure of angle b is 34 degrees more than three times the measure of angle a. the measure c is 56 degrees more than the angle a. what is the measure of each angle
38. ### math

Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H
39. ### math

in a triangle, the measure of the first angle is twice the measure of the second.the measure of a third triangle is 64 degrees more than athe measure of the second angle. Use the facts that the sum of the measures of the three angles of a triangle is 180 degrees to find the ...
40. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to fit in the problem, but nothing is working. My ...
41. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to fit in the problem, but nothing is working. My ...
42. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to fit in the problem, but nothing is working. My ...
43. ### Algebra

The second angle of a triangle is 3 times as large as the first. The third angle is 55° more than the first. Find the measure of the smallest angle
44. ### Geometry

Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin
45. ### Geometry

Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin
46. ### Geometry question

In isosceles ABC, B is the vertex. The measure of angle B can be represented as (8x+2). The measure of angle A can be represented as (9x-2). Find the measure of all three angles of the triangle. Be sure to name the angle with it’s measurement (ex: angle A= ).
47. ### dma 040

2 angles are supplementary if their sum is 180degress. Larger angle measures four degrees more than seven times the smaller angle. X represent the smaller angle and these two angles are supplementary. Find measure of each angle.
48. ### help math

In triangle ABC, points D,E,F are on sides BC,CA,AB respectively such that AD,BE,CF are angle bisectors of triangle ABC. The linesAD,BE,CF are concurrent at I,the incenter of triangle ABC. If Angle BAC=90, what is the measure (in degrees) of Angle EIF?
49. ### Geometry

The measure of angle B, the supplement of angle A, is four times the measure of angle C, the complement of angle A. I need to find the measure of all angles and i have no idea of where to start, any help would be appreciated.
50. ### Geometry

Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic progression with a common difference ...
51. ### Algebra II

The measure of the largest angle of a triangle is 90 more than the measure of the smallest angle, and the measure of the remaining angle is 30 more than the measure of the smallest angle. Find the measure of each angle. Show your work in obtaining your answer.
52. ### answer fast plsss

the measures of the2nd angle of a triangle is 20degree more than the complements of the first triangle and the 3rd angle is 4 degree less than half the supplement of the 1st.find the measure of each angle
53. ### answer fast plsss

the measures of the2nd angle of a triangle is 20degree more than the complements of the first triangle and the 3rd angle is 4 degree less than half the supplement of the 1st.find the measure of each angle
54. ### Math

In a triangle, one angle is twice the measure of the second angle. The third angle is three times the measure of the second angle. Find the measure of eah angle.
55. ### College Math

In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?
56. ### Algebra

In a triangle ABC, angle B is three times angle A and angle C is 5 degrees less than 6 times angle A. Find the size of the angles.
57. ### geomitry

the first angle of a triangle is complementry to the third angle. the second angle is 16 degrees less than five times the first angle. find the measure of the largest angle of the triangle.
58. ### Math

In the triangle ABC, angle ABC is x, angle BCA is x+40, and angle CAB is 2x. What is the measure of the largest angle (in degrees) ?
59. ### math-algebra-angles

The degree measures of two angles of a triangle are consecutive even integers. If the measure of the third angle is 50 degrees more than twice the measure of the least angle. Find the measure of each angle.
60. ### algebra

angles of a triangle The second angle of a garden triangle is four times as large as the first. the third angle is 45 degrees less than the sum of the other two angles. find the measure of each angle. 15 x 4=60 x 3 = 180 side a=15 side b = 60 sIDE C = 3
61. ### math

In a triangle ABC,angle B is 3 times angle A and angle C is 5 degrees less than 6 times angle A. Find the size of the angles.
62. ### algebra

In a triangle ABC , angle B is 4 times angle A and angle C is 17 degrees less than 5 times angle A. Find the size of the angles.
63. ### 8th grade

Right triangle ABC is similar to triangle XYZ because angle B is congruent to angle Y. If angle C equals 27°,what is the measure of angle Z?
64. ### geometry

Right triangle ABC is similar to triangle XYZ because angle B is congruent to angle Y. If angle C equals 33°,what is the measure of angle Z?
65. ### math

In a triangle ABC, angle B is 5 times angle A and angle C is 18° less than 4 times angle A. Find the size of the angles.
66. ### algebra 1

In a triangle ABC,angle b is 4 times angle "A" and angle "C" IS 17 less than 5 times angle "A". Find the size of the angles.
67. ### algebra 1

In a triangle ABC,angle b is 4 times angle "A" and angle "C" IS 17 less than 5 times angle "A". Find the size of the angles.
68. ### writing and linear equations

the measure of one angle is described as twelve more than four times a number. its supplement is twice as large. find the measure of each angle.
69. ### Geometry

Triangle ABC is congruent to triangle XYZ . Angle A measures 50 , angle B measures (2x+40) and angle X measures (4x+8) . Find the value of x.
70. ### Math

In Triangle MNP, the measure of angle M is 24degrees, the measure of angle N is five times the measure of P, find the measure of angle N and angle P.
71. ### MATH

FIND THE MEASURES OF ANGLE 1 AND ANGLE 2 IF MEASURE ANGLE 1=3X-12 MEASURE ANGLE 2=7X+2 AND ANGLE 1 AND ANGLE 2 FORM A LINEAR PAIR

The measure of one angle is described as twelve more than four times a number. Its supplement is as twice as large. Find the measure of each angle using an equation.
73. ### algebra

A triangle is such that the largest angle is 12 times the smallest angle. The third angle is 20 less than the largest angle. Find the measure of each angle. (12-x)+ x+20-(12-x)=180. im having a difficult time setting up the equation
74. ### Algebra

The following problem must be solved 3 different ways in which X=smallest angle for problem 1. Problem 2 would be X=medium sized angle. Problem 3 would start with X=largest angle. I was able to figure out X=smallest angle, but I am stumped on the other 2 as to how to set it up...
75. ### math

triangle ABC is isoceles with segment AB congruent tp segment AC. Angle A is 50. The bisectors of angle B and angle C meet at D. Find the measure of angle BDC
76. ### Math

The exterior angle at C if a triangle is ABC IS =120 degree find the measure of all the angles of a triangle if angle A= angle B
77. ### 8th Grade Geometry

given that triangle ABC~ triangle XYZ, angle a=50, angle x=(2x+5y), angle z= (5x+y), and that angle b =(102-x), find angle z.
78. ### Algebra

Could anybody help me with these two problems, or at least the 1st one? Thank you very much. „« The measure of the third angle of a triangle is 38 degrees more than the second angle. The measure of the first angle is two less than twice the second angle, Find the measure of...
79. ### Math

If triangle ABC is similar to triangle DEF and the scale factor is 1:2 correspondingly, what is the measure of angle D is the measure of angle A is 45 degrees? Explain how you determined the measure of angle D.
80. ### MATH

Help please :) The measure of the supplement of an angle is 20 degrees more than three times the measure of the original angle. Find the measures of the angles. The measures of an angle and its complement differ by 22 degrees. Find the measures of the angles.
81. ### math

In triangle XYZ, the measure of angle Y is twice the measure of angle X, and the measure of angle Z is three times the measure of angle X, what is the measure of angle Y ?
82. ### OldBridge

Triangle ABC has sides of: AB=25 BC=4 CA=26 Angle B is a Rt. Angle. What is the approx. measure of Angle A? How do you find the answer? Thanks, Jane
83. ### MATH_URGENT

Point X is on side \overline{AC} of \triangle ABC such that \angle AXB =\angle ABX, and \angle ABC - \angle ACB = 39 degrees. Find \angle XBC in degrees.
84. ### maths

In triangle ABC angle B > angle C if AM is the bisector of angle BAC and AN perpendicular BC. prove that angle MAN =1/2(angle B - angle C)
85. ### math

in triangle abc angle b is 5x angle a and c is 16 degree less than 4 times angle a the size of angle a b c in decimal is
86. ### geometry

In a triangle ABC, angle B is 3 times angle A and angle C is 8 degrees less than 6 times angle A. The the size of the angles. Size of angle A is = Size of angle B is = Size of angle C is = can someone please help me with this..? I am very weak at geometry...and math in general...
87. ### geometry

if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc
88. ### geometry

if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc
89. ### geometry

if segment bd bisects angle abc. the measure of angle abc=7x. the measure of angle abd=3x+25 find the measure of angle dbc
90. ### geometry

If an angle measures more than 90°, then it is an obtuse angle. What is the converse of this statement? A.If an angle does not measure more than 90°, then it is not an obtuse angle. B.If an angle is not an obtuse angle, then its measure is not more than 90°. C.If an angle ...
91. ### Proves

Two lines intersect to form angle 1 comma space angle 2 comma space angle 3 comma space a n d space angle 4. The measure of angle 3 is 3 times the measure of angle 1 and m angle 1 equal m angle 2. Find the measure of each angle. Label your answers.
92. ### mat116

In a triangle ABC, angle B is 4 times angle A and angle C is 16 degrees less than 5 times angle A. What is the size of angle A _____ B _____ and C _____ I would like to learn this so please be so kind to walk me through the steps. I appreciate you very much!!!
93. ### MATHS

In a triangle ABC, angle B> angle C. If AM is the bisector of angle A and An is perpendicular to BC. Prove that angle MAN=1/2(angle B-angle C).

1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measure of the angles. 2) If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles? Please don't...
95. ### geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First triangle: Second triangle...
96. ### Geometry

parallelogram ABCD: Angle BAC = 35 and angle BCA = 20 How can I find the measure of angle BAD and the measure of angle ABC?
97. ### algebra

The sum of the angles of a triangle is 180 degrees. If one angle measures x degrees, a second angle measures 3x degrees, and a third angle measures 7x degrees, express the measure of the fourth angle in terms of x.
98. ### algrbra

Complimentary angles add up to 90º So translate the English into Math. if you let the unknown angle be x then "the measure of the compliment of the angle" -----> 90-x "10 degrees less than three times the measure of the angle" ----> 3x - 10 so....... 90-x = 3x - 10 ...
99. ### Geometry

Writing indirect proofs. Can someone please check for me. I am not sure If this is correct.Thanks much Given: triangle ABC angle B=120 degree Proof: Triangle A does not equal 60 degree Plan: Using an indirect proof, using the paragraph method My answer. Assume temporarily that...
100. ### math

in triangle SET, ES is congruent to ET, measure angle S = 4x - 6 and measure angle T = 3x + 3. Find the measurement of angle S, angle E, and angle T