Question

In triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A. The measure of angle C is 57 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 the measure of angle C? _____

Answer 1

Explanation:

Given that in a triangle ABC, the measure of angle B is 35 degrees more than three times the measure of angle A.

Measure of C = 57 degrees more than measure of A

`Angle C = Angle A +57`

Measure of B = 35 degrees more than three times measure of A

`Angle B = 35+3 (angle A)`

Sum of three angles = 180

Hence if
`Angle A = x`, we get

`x+x+57+3x+35 =180\\5x+92 =180\\5x =88\\x=17.6`

Hence angles are

`A =17.6^(o) B =87.8^(o)C=74.6^(o)`