## The measure of two angles andjacent angles are in the ratio of 3:2 find the each of the angle of the parallelogram

Question

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## Answers ( )

Answer:108°, 72°, 108° and 72°

Step-by-step explanation:Let the measure of the given adjacent angles of the parallelogram be (3x)° and (2x)° respectively.

As we know that the sum of two andjacent angles of a parallelogram is 180°.

So, 3x + 2x = 180

=> 5x = 180

=> x = 180/5

=> x = 36

So, the measure of the given adjacent angles of the parallelogram are:

(3x)° = (3×36)° = 108°, and

(2x)° = (2×36)° = 72°

And we know that opposite angles of a parallelogram are equal.

So, the angles of the given parallelogram are 108°, 72°, 108° and 72°

Hope, it may be helpful.

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