Q. 85.0( 2 Votes )
The angles of quadrilateral are in the ration 1:3:7:9. The measure of the largest angle is
D. none of these
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°
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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