Question

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

Answer 1

Given that 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°