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The angles of a parallelogram are $(x + 30)$ deg $, (2 x)$ deg, $(x + 30)$ deg $, (2 x)$ deg taken in order.
Find $x$ (in degrees).

Class 9Properties of a ParallelogramGeometry — Quadrilaterals

A100
B55
C50
D45

Step-by-Step Solution

Consecutive angles

(x + 30)

and

2 x

are supplementary:

(x + 30) + 2 x = 180

, so

3 x + 30 = 180, 3 x = 150, x = 50

.

Answer: C) 50

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