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
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⇒ 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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