Question

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(i) If the angles of a quadrilateral are in the ratio 1:2:3:4, find the angles.
(ii) The angles of a quadrilateral are in the ratio 2 : 5:5:6. Find the greatest angle. please answer step by step​

Answer 1

Answer:

(I)Let the measure of angles be x,2x,3x and 4x.

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

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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

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=108

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⇒ 4x=4×36

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=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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