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°
