Question

12. Find the least angle of a quadrilateral whose angles are in the ratio 3:5:9:13.​

Answer 1

Answer:

The Least angle of quadrilateral is 3x = 3×12 = 36

Answer 2

Given :-

• Angle of a quadrilateral are in the ratio 3:5:9:13.

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To find :-

• Least angle of the Quadrilateral.

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Solution :-

• Let the ratio of angles be x.

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Then,

• First angle = 3x
• Second angle = 5x
• Third angle = 9x
• Fourth angle = 13x

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★ We know that, sum of all angles of a quadrilateral is 360°

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• According to the question

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→ 3x + 5x + 9x + 13x = 360°

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→ 30x = 360°

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→ x = 360/30

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→ x = 12

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We can see that, least angle of the given Quadrilateral is 3x.

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• By putting the value of x

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→ Least angle = 3 × 12

→ Least angle = 36°

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Hence,

• measure of least angle of the quadrilateral is 36°.