Question

If all angles of a quadrilateral are in ratio 2:5:4:7 then find the measures of each angles.​

Answer 1

$\orange{\bold{\underline{\underline{ANSWER:}}}}$

2=2x20=40

5=5x20=100

4=4x20=80

7=7x20=140

$\green{\bold{\underline{\underline{explanation:}}}}$

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