Question

the measurement of two adjacent angle of a parallelogram are the ratio of 3:2. find the measurement of each of the angles of the parallelogram.​

Answer 1

Answer:

as we know that the adjacent angles of a parallelogram has relation between them.

both of the angles are supplementry and so its pair is also known as co interior angles.

----------------(1)

since, two adjacent angles are in ratio so, let the angles be 3x and 2x.

and,

3x +2x =180. (from 1)

5x = 180

x= 36

so two angles are

3*36= 108°

2*36= 72°

and, as we know that opposite side of a parallelogram are equal . so,

the angles are 108°, 72°, 108° , 72°

i hope it help you dear

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