Question

the angle of a quadrilateral are in the ratio 1:3:7:9.find the measure of each angle

Answer 1

let measures of angles are x,3x,7x,9x

now x+3x+7x+9x=360

20x=360

x=360/20=18

therefore measure of angles are

x=18

3x=3*18=54

7x=7*18=126

9x=9*18=162

Answer 2

1x+3x+7x+9x=360
20x=360
x=18
Then the first angle is 18
second angle is 54
third angle is 126
fourth angle is 172