Question

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 1° less than 6 times the size of angle A.

Answer 1

18.1 -->Measure of A

54.3° -->Measure of B

107.6° -->Measure of C

Explanation:

Equations

The sum of the interior angles of a triangle is 180°. Let's call:

x = measure of angle A

The measure of angle B is 3 times the measure of A, thus:

3x = measure of angle B

The measure of angle C is 1 degree less than 6 times of x, thus:

6x - 1 = measure of angle C

The equation to solve is:

x + 3x + 6x - 1 = 180

Simplifying:

10x - 1 = 180

Adding 1:

10x = 181

Dividing by 10:

x = 18.1 -->Measure of A

3x = 54.3° -->Measure of B

6x-1 = 107.6° -->Measure of C