Question

If two adjacent angles of a parallelogram are in the ratio 3:2 their measures in degree are *

Answer 1

Answer:

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Step-by-step explanation:

The sum of the adjacent angles of a parallelogram is equal to 180°. Therefore, Let the angles be equal to 3x and 2x.

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Answer 2

Answer :-

• Measure of the angles are 108° and 72°.

Given :-

• Two adjacent angles of a parallelogram are in the ratio 3:2.

To Find :-

• Measure of the angles.

Solution :-

Put x in the ratio

Angles are

• 3x
• 2x

As we know that

Sum of the adjacent angles of a parallelogram is 180°

According to question :-

3x + 2x = 180°

⇒ 5x = 180

⇒ x = 180/5

⇒ x = 36

Put the value of x in the ratio

• 3x = 3 × 36 = 108°
• 2x = 2 × 36 = 72°

Hence, the angles are 108° and 72° respectively.