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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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