I need homework help
The measure of one angle is 38 degrees less than the measure of its supplement. Find the measure of each Angle.
x + x-38 = 180
Supplementary angles are two angles whose measures add up to 180°
x + y = 180°
The measure of one angle is 38° less than the measure of its supplement means:
x = y - 38°
Replace x with y - 38° in equation x + y = 180°
y - 38° + y = 180°
2 y - 38° = 180°
Add 38° to both sides
2 y = 218°
y = 218° / 2 = 109°
x = 109° - 38° = 71°
The angles are 71° and 109°