Question

In a quad. ABCD, the angles A,B,C,D are in the ratio 1:2:3:4 . Find measure of each angle

Answer 1

let the ratio be in x
so 1x, 2x, 3x and 4x.
1x + 2x + 3x + 4x = 360° (sum of all angles of a quadrilateral)
10x = 360°
x= 360/10
x= 36°

First angle = 36×1 = 36°
Second angle = 36×2 = 72°
Third angle = 36×3 = 108°
Forth angle = 36×4 = 144°