Question

In Triangle ABC, the measure of angle B is 36 degrees more than three times the measure of angle A. The measure of angle C is 54 degrees more than the measure of angle A. Find the measure of each angle.

Answer 1

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

Explanation:

A triangle is a shape with 3 sides. The total angle of a triangle is 180°. This means the sum of all the angle is 180°.

Let

angle A = a

angle B = 36 + 3a

angle C = 54 + a

The sum of angle A, B and C should be equals to 180°. Therefore,

a + 36 + 3a + 54 + a = 180°

collect like terms

5a + 90 = 180

5a = 180 - 90

5a = 90

divide both sides by 5

a = 90/5

a = 18°

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°