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Question

If two angles of a quadrilateral are 36 and 72 and other two angles are in the ratio 3:4, then the measure of the other two angles are


A

100,152

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B

80,172

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C

108,144

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D

120,132

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Solution

The correct option is C

108,144


Given the angles of a quadrilateral are 72, 36.

Let the other two angles be 3x and 4x
The sum of angles of a quadrilateral is 360
3x+4x+36+72=360
7x=360108
x=2527=36
3x = 3×36=108 and 4x = 4×36=144
The required angles are 108,144


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