Question

Among two supplementary angles, the measure of the larger angle is 36º more than the measure of the smaller. Find their measures.

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Answer 1

Answer:

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°.

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