Question

Among two supplement angles, the measure of the larger angle is 36° more than the measure of the smaller. find their measures.​

Answer 1

Answer:

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°.