Question

∠A and ∠B are supplementary angles. If m∠A = (5x + 25)° and m∠B = (x + 17), then find the measure of ∠A.

Answer 1

Answer:

140°

Explanation:

Two angles are supplementary if they add up to 180 degrees.

Since ∠A and ∠B are supplementary angles.

m∠A+m∠B=180°

(5x + 25)°+(x + 17)°=180°

5x+x+25+17=180

6x+42=180

6x=180-42

6x=138

x=138/6

x=23

Therefore, the measure of angle A will be:

m∠A=(5x + 25)°

=5(23)+25

=115+25

=140°

The measure of angle A is 140 degrees.