Question

the measure of two adjacent angles of a parallelogram are in the ratio 3:2,find the angles of the parallelogram​

Answer 1

Answer:

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Question

The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2 . Find the measure of each of the angles of the parallelogram

Answer 2

We know that the adjacent angles of a parallelogram are supplementary angles which means that the sum of the adjacent angles of a parallelogram is 180° .

Given, the measure of two adjacent angles of a parallelogram are in the ratio 3:2.

Let the angle be v, so that

3v + 2v = 180°

or, 5v = 180°

or, v = 180° / 5

or, v = 36°

By putting the value of v in the new ratio, we get

3v = 3(36°)

= 108°

2v = 2(36°)

= 72°

Answer:

The value of the angles of the parallelogram which are in the ratio 3:2 are 108° and 72° respectively.