Given that the angles of a quadrilateral are in the ratio 1:2:4:5, find the angles.

Question

find the angles of the quadrilateral

Answer 1

Quadrilateral angles are in the ratio 1:2:4:5

Sum of angles of quadrilateral is 360.

Here x,2x,4x,5x represents angles of quadrilateral.

x+2x+4x+5x = 360

12x = 360

Divide to each side by 12.

12x/12 = 360/12

x = 30

First angle of qudrilateral is 30 degrees.

Second angle of quadrilateral is 2*30 = 60 degrees.

Third angle of quadrilateral is 4*30 = 120 degrees.

Fourth angle of quadrilateral is 5*30 = 150 degrees.