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Introduction to Quadrilaterals

The measures ...

Question

The measures of interior angles of a quadrilateral are in the ratio 3:4:5:6. The measure of the largest angle is

A

120^o

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B

90^o

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C

140^o

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D

130^o

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Solution

The correct option is A
120^o

Let the angles be 3x,4x,5x,6x

3x + 4x + 5x + 6x = 360^o

18x = 360^o

x = 20

Largest angle = 6x = 120^o

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