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

Question

Philoid · Accepted 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 360^o.

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°.