Question

16. In quadrilateral ABCD, the angles A,B,Cand D are in the
ratio 1:2:4:5. Find the mesaure of each angle of the
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

.

Step-by-step explanation:

hope it helps you dear..

Answer 2

ncrt sum 1x+2x+4x+5x =180 12x=180 x=180/12 =15x