Question

two adjacent angles of a parallelogram are in the ratio 3 is to 2 find the measure of all angles

Answer 1

$3x + 2x = 180(co \: interior \: angles) \\ 5x = 180 \\ x = 36 \\ therefore...angles \: are \: 72 \: and \: 108$
hope it helps...

Answer 2

Hey friend, Harish here.

Here is your  answer:

Given that.

The adjacent angles are in the ratio  of 3:2.

To find,

The measure of all angles.

Solution.

Let the adjacent angles be 3x & 2x.

We know that,

Sum  of adjacent angles in parallelogram = 180°

⇒ 2x + 3x = 180°.

⇒ 5x = 180°

⇒ x = 180/5 = 36°.

Therefore the angles are, 2x = 2 × 36 = 72

                                         3x = 3 × 36 = 108.

So, The four angles are 72° , 108° , 72° , 108°.
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Hope my answer is helpful to you.