## 1. The measure of two adjacent angles of a parallelogram is in the ratio 4:2. Find the measure of each of the angles of the parallelogram.

Question

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## Answers ( )

Answer:–Given:

Ratio of two adjacent angles of a parallelogram = 4 : 2.

Let the measures of angles be 4x , 2x.

We know that,

Sum of two adjacent angles of a parallelogram = 180°

Hence,

→ 4x + 2x = 180°

→ 6x = 180°

→ x = 180/6

## → x = 30

Hence,

120°60°.We know,

Opposite angles of a parallelogram are equal.

so, the measures of other two angles are also

120°,60°.Therefore,themeasuresoffouranglesofthegivenparallelogramare120°,60°,120°,60°.Given:–ToFind:–Solution:–☯️ We know that,

SumOfAdjacentAngles=180°Now,

Let the angles be 4x, 2x.

Put the values.

⇒ 4x + 2x = 180°

⇒ 6x = 180°

⇒ x = 180/6.

⇒ x = 30.

Hence,

120°60°120°60°Opposite Angles Of a Parallelogram are equal. So, 3rd and 4th Angle will becomeand

120°60°.