# Angles,Lines and Triangles

The sum of two angles of a triangle is 116 degree and their differences is 24 degree.Find the measure of each angle of the triangle.

1. 👍 0
2. 👎 0
3. 👁 771
1. let the angles be x and y

x+y = 116
x-y = 24
2x = 140
x = 70
then y = 46

one angle is 70°, the other is 46° leaving 64° for the third angle

1. 👍 0
2. 👎 1
posted by Reiny
2. Let the angle ne x and y .
If we take x+y=116°....(1)
x-y=24°.....(2)
We know that the sum of an angle of an ∆ is 180°
So, x+y= 116°
x=(180-116)°
X=64°
We get, 2x=140
=>140/2
=>70°
Simply sum of am angle of an ∆ is 180°. So, another angle is 46°.

One angle is 70 , another is 46°, and third angle is 65°

1. 👍 2
2. 👎 1
posted by Anss

## Similar Questions

1. ### cms

The sum of two angels of a triangle is 116 degree and their difference is 24 degree . find the measure of each angle of the triangle.

asked by ayush on June 3, 2017
2. ### geometry

find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

asked by marko on March 21, 2012
3. ### geometry

find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

asked by marko on March 21, 2012
4. ### math

The Third angle of a Isosceles triangle is 16 degree less than the sum of the two equal angles. Find the three angles of the triangle

asked by Anonymous on May 23, 2016

The difference between the two acute angles of a right- angled triangle is 2 π/5 radians. Express the angles in degrees. I’ve multipled 2 π/5 * 180/ π and got the result 72 degree But the answer is 81 degree and 9 degree.

asked by Akash on May 12, 2010
1. ### MATHS-traingles

one of the exterior angles of a triangle is 126 degree and the interior opposite angles are in the ratio 2:4. Find the angles of the triangle.

asked by anchal on March 2, 2013
2. ### Math - Geometry

Two right triangles are touching at the tips. The left triangle has the 90 degree angle to the bottom left, and 33 degrees on the bottom right. Based on this info, the other angle is 57 degrees. The right triangle has the right

asked by Nikki on December 1, 2007
3. ### Math

The sum of the degrees of the interior angles of a triangle is _____ degrees What is the sum of the interior angles of a parallelogram ? What is the sum of the interior angles of a rhombus? What is the sum of the interior angles

asked by Mackenzie on June 4, 2014
4. ### math

1. What is the correct classification for the triangle shown below? A triangle has two angles measuring 68 degrees and 22 degrees. (1 point) acute, scalene acute, isosceles --- right, scalene obtuse, scalene 2. What is the value

asked by Unknown on March 1, 2018
5. ### Math

ÚABC ~= ÚACB BD perpendicular AC The sum fo the three angles in any triangle is 180 degree. Prove: mÚCBD = 1/2 mÚBAC

asked by Tom on October 14, 2012

More Similar Questions