Q. 85.0( 2 Votes )

The angles of quadrilateral are in the ration 1:3:7:9. The measure of the largest angle is
A. 63°

B. 72°

C. 81°

D. none of these

Answer :

Let x be the common multiple.


As per question,


A = x


B = 3x


C = 7x


D = 9x


As we know that, Sum of all four angles of quadrilateral is 360o.


A + B + C + D = 360°


x + 3x + 7x + 9x = 360°


20x = 360°


X= 360/20


= 18°


A = 1 × 18° = 18°


B = 3 × 18° = 54°


C = 7 × 18° = 126°


D = 9 × 18° = 162°


So, largest angle of quadrilateral is 162°.

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