Question

the measure of two adjecent angles of parallogram is in ratio3:2 find the measure of each angle
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Answer 1

Each angle will measure 108° and 72°

Answer 2

Given :-

• The measure of two adjecent angles of parallogram is in ratio 3:2.

To Find :-

• The measure of each angle.

Solution :-

Let the angle of parallelogram be x°,

• First angle :- 3x°

• Second angle :- 2x°

• Third angle :- x°

• Fourth angle :- x°

We know, the sum of the adjacent angle of a quadilateral is 360°.

3x° + 2x° = 180

➝ 5x° = 180°

➝ x° = $\cancel{\dfrac{180}{5}}$

➝ x° = 36°

First angle :- 3x° = 3 × 36 = 108°

Second angle :- 2x° = 2 × 36 = 72°

Third angle = (First angle) = 3x° = 3 × 36 = 108°

Fourth angle = (Second angle) = 2x° = 2 × 36 = 72°

We know , the angle sum property of quadilateral is 360°

➝ 108 + 72 + 108 + 72 = 360°

➝ 360° = 360°

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