Question

the angle of a qiadrilateral are on the ratio 1 :2 :3: 4 find the measure of four angles

Answer 1

angle of A=x
angle of B=2x
angle of C=3x
angle of D=4x
sum of four angles of qiadrilateral=360
angleA+angleB+angle+angleC+angleD=360
x+2x+3x+4x=360
10x=360
x=360/10
x=36
angleA=x=36degree
angleB=2x=2×36=72degree
angleC=3x=3×36=108degree
angleD=4x=4×36=144degree

Answer 2

the angle of quadrilateral are in the ratio 1:2:3:4.
the measure of four angles=360.
let first angle be 1x
second angle=2x
third angle be=3x
fourth angle be =4x
Sum of the ratio =1+2+3+4=10
first angle =1/10×360=36
second angle =2/10×360=72
third angle =3/10×360=108
fourth angle =4/10×360=144

VERIFICATION
Sum of the angles =360
36+72+108+144=360
HENCE VERIFIED