Question

An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4 Substitute for A in the top equation

B - 16.4 + B = 180 Combine the left

2B - 16.4 = 180 Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4 Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8