Question

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio of 1:2:4:5. Find the measure of each angles of the quadrilateral.

Answer 1

Let the angles of the quadrilaterals are A = x, B = 2x, C = 4x and D = 5x 

We know, sum of all angles of a quadrilateral = 360°

A + B + C + D = 360° 

x + 2x + 4x + 5x = 360° 

12x = 360° 

x = 360°/12 = 30° 

Therefore, 

A = x = 30° 

B = 2x = 60° 

C = 4x = 120° 

D = 5x = 15°