Question

in a quadrilateral ABCD angles a b c and d are in the ratio 1 ratio 2 ratio 4 ratio 5 find the measure of each angles of quadrilateral ​

Answer 1

∠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=108

o

,∠D=144

o

.