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Question

Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are


A

100, 80, 100, 80

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B

60, 100, 180, 20

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C

140, 20, 120, 80

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D

60, 120, 60, 120

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Solution

The correct option is D

60, 120, 60, 120


Let the measure of the angle be x and that of its adjacent angle be y.

x=2y ...(i) (given)

x+y=180 ...(ii)
(sum of adjacent angles of a parallelogram is 180)

On substituting (i) in (ii), we get

2y+y=180

y=60

Since x=2y, x=120.

We know that opposite angles of parallelogram are equal.

Measure of the angles are 60, 120, 60 and 120.

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