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Q.

The angles of a quadrilateral are in the ratio 2: 3: 6: 7. What is the value of the largest angle of quadrilateral?


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a

40°

b

120°

c

140°

d

160° 

answer is C.

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Detailed Solution

Given, the angles of a quadrilateral are in the ratio 2: 3: 6: 7.
Let the angles are 2x, 3x, 6x, 7x.
We know that the sum of angles in a quadrilateral is 360°.
So, 2x + 3x + 6x + 7x = 360°.
18x = 360°
x = 20°
Thus, the largest angle is 7x i.e, 7(20) = 140°.
So, option 3 is correct.
 
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