Question

In quadrilateral ABCD , angle A : B : C : D = 2 : 4 : 5 : 7. Find all the angles of quadrilateral ABCD.

Answer 1

hère is your answer mate....

sum of all angles of the quadrilateral is = 360 degree...

then let them be... 2x, 4x, 5x, 7x

by adding them we get...

18x=360

x= 360/18=20

therefore. ..angles are... 40,80,100,140...

hope this helps you..

Answer 2

We also know that sum of all Quadrilateral 360°

Let the angle be x..

2x+4x+5x+7x=360°

=>18x=360°

=>x=360°/18

=>x=20°

1st angle=2×20=40°

2nd angle=4×20=80°

3rd angle=5×20=100°

4th angle=7×20=140°