Question

An angle measures 112° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

146°; 34°

Step-by-step explanation:

Supplementary angles are two angles whose measures sum up to equal 180°. The supplement of one angle = 180° - its measure.

Given that an angle measures 112° more than its supplementary angle,

let x = the angle (larger angle)

Supplement of x = (180 - x) (smaller angle)

x = (180 - x) + 112

Solve for x

x = 180 - x + 112

x + x = 180 - x + 112 + x

2x = 180 + 112

2x = 292

2x/2 = 292/2

x = 146

The angle is 146°

Its supplement is 180 - 146 = 34°