GEOMETRY (Angles) PLEASE

posted by .

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

  • GEOMETRY (Angles) PLEASE -

    You'd have to set up equations.
    First, let a=angle A, b=angle B and c=angle C, all in degrees.
    (Note: in solving math problems, it is important to define all symbols/variables used, including the units).

    We are given:
    "angle b is 5 more than twice angle A" which translates to:
    b=2a+5 .....(1)

    "angle C is 35 less than three times angle A" which means:
    c=3a-35 .....(2)

    Finally, we know from basic geometry that the sum of angles of a triangle is 180°, so
    a+b+c=180 .....(3)

    Using the three equations, we can solve for a by substitution, i.e.
    Substitute values of b and c from (1) and (2) into equation (3) and solve for the value of a.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH

    In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find the number of degrees in these angles In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find the …
  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. 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..?
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Geomatry

    In triangle ABC, angle Bis five less than twice angle A and angle Cis sixty less than angle B. What is the measurment of all of the triangles angles?
  9. 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.
  10. 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 …

More Similar Questions