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Question

The angles of a quadrilateral are x°, (x-10)°, (x+ 30)° and 2x°.Then the value of the greatest angle is degrees.

A
68
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B
180
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C
136
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Solution

The correct option is C 136
We know that the sum of all angles in a quadrilateral is 360.
Then, x+(x10)+(x+30)+(2x)=360
5x+20=360
x=3405=68
The angles are 68,6810,68+30,2×68
i.e.68,58,98,136.
Greatest angle =136

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