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Question

Three angles of a quadrilateral are equal. The fourth angle is twice one of the angles.

Find the measure of largest angle.


A

144

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B

102

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C

70

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D

72

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Solution

The correct option is A

144


Let the measure of other equal angles be x.

Fourth angle = 2x

The sum of all the angles of a quadrilateral is 360.

x+x+x+2x=360

5x=360

x=72

Thus, the measure of the three equal angles is 72.

Measure of fourth angle = 2x = 144

Therefore, 144 is the largest angle.


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