Question

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

Answer 1

Hello Dear!!!

Here's your answer....

Given that,

The measures of 2 adjacent angles in a parallelogram are in the ratio 3:2

Sum of adjacent angles in a parallelogram is 180°

Let,

The adjacent angles be 3x and 2x

3x + 2x = 180°

5x = 180°

x = 180/5

x = 36°

Adjacent angles are 3x and 2x

3x = 3(36)
= 108

2x = 2(36)
= 72

Adjacent angles are 108° and 72°

Opposite angles are equal in parallelogram...

So,Angles are 108°,72°,108°,72°

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Hope this helps you....

Answer 2

the angles will be 108° and 72°