Question

1) In a quadrilateral ABCD, the
angles A,B,C,D are in the ratio
3:5:7:9, find the measure of
angle D of the quadrilateral.​

Answer 1

Answer:

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

x+2x+3x+4x=360

10x=360

x=36

o

Hence,

∠A=36

o

,∠B=72

o

,∠C