Question

Two opposite angles of a parallelogram are (3x-2)° and (50-x)°.Find the measures of each angle.

Answer 1

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°