Question

the sum of two equal angles of a quadrilateral is 155° and the other two angles are in the ratio 3:2 find the measure of all the angles​

Answer 1

Answer:

⇒ The sum of first angle second angle =150

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⇒ The ratio of third and fourth angle is 2:3

⇒ Let third angle fourth angle be 2x and 3x.

We know that in quadrilateral sum of four angles is 360

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∴ 150

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+2x+3x=360

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⇒ 5x=210

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⇒ x=42

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⇒ Now, 2x=2×42

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=84

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⇒ 3x=3×42

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=126

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⇒ The measure of two angles are 84

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and 126

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