Question

measures of opposite angles of a parallelogram are (3x-2) and (50-x).find the measure of its each angle​

Answer 1

Given two opposite angles of a parallelogram are

(3x − 2)º and (50 − x)º

Recall 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 = 37º

Sum of adjacent angles is 180º

Hence other two equal opposite angles

= 180º − 37º = 143°