SSC CGL 11 Aug 2017 Shift 1 Paper

Question : 53 of 100

Marks: +1, -0

The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadilateral is a............

Solution:

Let the four angles of a quadrilateral are 7x , 11x , 7x and 11x , respectively .
According to the question,

7x + 11 x + 7x + 11 x = 360

⇒

36x =360

∴

x = 10

∴ Angles are 70°, 110°, 70°, 110°.
∵ Face angle of quadrilateral are equal.
So, quadrilateral is a parallelogram.

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