among two supplementary angles the measure of the larger angle is 36°more than the measure of the smaller find their measure
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Answer:
Smaller angle = 72
Larger angle = 108
Step-by-step explanation:
The angles are supplementary, their sum is equal to 180°.
Let the smaller angle be x
Therefore, the larger angle = x + 36°
Sum of the 2 angles = 180°
x + x + 36 = 180
2x + 36 = 180
2x = 180 - 36
2x = 144
X = 144/2 = 72
Smaller angle = 72
Larger angle = x + 36 = 72+ 36 = 108
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