Question

the angles of aquadrilateral are in the ratio 2:4:5:7.find the angles

Answer 1

sum of the angles if a qudrilateral=360 degrees
the ratio of angles =2:4:5:7
let the angles be 2x ,4x, 5x, 7x
So 2x+4x+5x+7x=360
18x=360
x=360/18
x=20
So 1st angle =2x=2×20=40
2nd angle=4x=4×20=80
3rd angle=5x=5×20=100
4th angle=7x=7×20=140
Hope it helps

Answer 2

Let the angles be 2x, 4x ,5x and 7x

Sum of angles of a quadrilateral is 360°

2x + 4x + 5x + 7x = 360
18x = 360
x = 20°

So the angles are 40°, 80°, 100° and 140°

Hope This Helps You!