the angles the angles of a quadrilateral are in the ratio of 4is to 6 is to 8 is to 12 find the measure of all the four angles
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Angles are in the ratio=2:3:4:6
Let's assume the angles to be 2x,3x,4x and 6x
Sum of all the angles of a quadrilateral=360
o
⇒2x+3x−4x+6x=360
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⇒15x=360
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⇒x=360
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/15=24
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Hence, the angles are as follows:
2x=2×24
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=48
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3x=3×24
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=72
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4x=4×24
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=96
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and 6x=6×24
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=144
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.
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