Asked by Liam
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The measure of one angle is 38 degrees less than the measure of its supplement. Find the measure of each Angle.
The measure of one angle is 38 degrees less than the measure of its supplement. Find the measure of each Angle.
Answers
Answered by
oobleck
x + x-38 = 180
Answered by
Bosnian
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°
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°
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