6. Two opposite angles of a parallelogram are (3x-2)° and (50-x)°.Find the measures of each angle.
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Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)ºRecall that opposite angles of a parallelogram are equal. Hence (3x − 2) = (50 − x) ⇒ 3x + x = 50 + 2 ⇒ 4x = 52 ∴ x = 13 (3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37ºSum of adjacent angles is 180º Hence other two equal opposite angles = 180º − 37º = 143°
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