Question

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

Answer 1

Given,

In quadrilateral ABCD,

A:B:C:D = 1:2:3:4:5 

Let angles A, B, C, D = x, 2x, 4x, 5x 

So, 

x+2x+4x+5x = 360^∘ 

12x = 360^∘ 

x =  \(\frac{360^∘}{12}\) = 30^∘ 

So,