Question

Ratio of measures of angles of quadrilateral ABCD is 7:9:3:5. Then find the measures of its angles and write the type of the quadrilateral​

Answer 1

ANSWER

⇒ Let the measure of angles be x,2x,3x and 4x.

We know that sum of measure of all four angles is 360

o

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∴ x+2x+3x+4x=360

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⇒ 10x=360

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⇒ x=36

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⇒ 2x=2×36

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=72

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⇒ 3x=3×36

o

=108

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⇒ 4x=4×36

o

=144

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⇒ The measures of angles of quadrilateral are 36

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,72

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,108

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and 144

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⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

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