Question

An angle measures 30.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Original Angle: 74.8

Supplementary Angle: 105.2

Explanation:

Equation:

1. x + (x + 30.4) = 180

2. 2x = 149.6

3. x = 74.8

4. 74.8 + (74.8 + 30.4) = 180

Answer 2

105.2 and 74.8

Explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

The first angle is x, then the second angle is x - 30.4

x + (x - 30.4) = 180

2x = 180 + 30.4

2x = 210.4

x = 210.4/2 = 105.2

x - 30.4 = 74.8