Question

fou angles of quardilateral are in the ratio. 2:3:5:8 find each angle


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Answer 1

Answer:

The ratio of angles of quadrilateral are 2:3:5:8

⇒ Let the four angles be 2x,3x,5x and 8x

We know, sum of four angles of quadrilateral is 360

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∴ 2x+3x+5x+8x=360

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⇒ 18x=360

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⇒ x=20

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The angles are,

⇒ 2x=2×20

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=40

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⇒ 3x=3×20

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=60

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⇒ 5x=5×20

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=100

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⇒ 8x=8×20

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=160

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∴ The smallest angle of the quadrilateral is 40

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