Question

In a quadrilateral ABCD, thevangles A,B,C,D arevin the ratio 1:2:3:4. Find the measures of angle of the quadrilateral

Answer 1

let the 1:2:3:4 be in x,2x,3x,4x
sum of all angles of quadrilaterals=360°
x+2x+3x+4x=360°
10x=360°
x=360/10
x=36°

angle of quadrilaterals=
x=36°
2x=2×36°=72°
3x=3×36°=108°
4x=4×36°=144°.