Question

if the angle of a quadrileteral r in ratoi 3:5:13;9 then find the measure of angles ​

Answer 1

Step-by-step explanation:

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Answer 2

Given

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

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To find

• Measures of all angles.

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Solution

• Let the ratio of angles be x.

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Then,

• All angles of the quadrilateral are 3x, 5x, 13x and 9x.

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We know that

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☆ Sum of all angles of a quadrilateral is 360°.

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→ 3x + 5x + 13x + 9x = 360

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→ 30x = 360

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→ x = 360/30

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→ x = 12

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★By putting the value of x

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• First angle = 3x = 36°
• Second angle = 5x = 60°
• Third angle = 13x = 156°
• Fourth angle = 9x = 108°

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Hence,

• Measures of all angles of the quadrilateral are 36°, 60°, 156° and 108°.