Question

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.​

Answer 1

Answer:

Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x

3x+5x+9x+13x=360

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[sum of all angles of the quadrilateral is 360

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]

30x=360

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x=12

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Hence, the angles of the quadrilateral are 3×12

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=36

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,5×12

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=60

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,9×12

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=108

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and13×12

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=156

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Step-by-step explanation:

Answer 2

Step-by-step explanation:

First angle, 3x= 3× 12= 36⁰

Second angle, 5x = 5×12 = 60⁰

Third angle, 9x = 9×12= 108⁰

Fourth angle, 13x = 13×12 = 156⁰