among two supplementary angles the measure of the larger angle is 36 degree more than the measure of the smaller. Find the measures.
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among two supplementary angles the measure of the larger angle is 36 degree more than the measure of the smaller. Find the measures.
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Answer:
let smaller angle be x and larger angle =x+36
x+x+36=180°
2x+36=180°
2x=180-36
2x=144
x=144/2
=72°
x=72+36=108
Step-by-step explanation:
Sol: Let the measure of the supplementary angles be x and (x + 36). ⇒ (x) + (x + 36) = 180° ⇒ 2x + 36 = 180° ⇒ 2x = 144° ⇒ x = 72° Therefore, measures of the supplementary angles are 72° and (72 + 36) i.e. 108°.