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Angle A of parallelogram ABCD is three times angle B (and A, B are adjacent).
Find the measure of the larger angle (in degrees).

Class 8Properties of ParallelogramsQuadrilaterals

A150
B270
C120
D135

Step-by-Step Solution

A + B = 180

and

A = 3 B

, so

3 B + B = 180, 4 B = 180, B = 45

. The larger angle

A = 3 \times 45 = 135

deg.

Answer: D) 135

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