Question

angle A and B are supplementary angles. If angle B = (x + 10) deg , then find the measure of m angle A = (7x + 2) deg and m angle B .​

Answer 1

The measure of angle A is 108°

What is a angle?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is a supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Given that angle A and angle B are supplementary angle

∠A=(7x+10)°

∠B=(7x−26)°

(7x+10)° + (7x−26)° =180°

14x - 16° =180°

14x =196°

x= 14°

∠A=(7x+10)°

∠A=(7(14) +10)°

∠A= 108°

Thus the measure of angle A is 108°