Question

the angles of a quadrilateral are in ratio 3:5=9:14 find all the angels

Answer 1

Let the angles of quadrilateral be 3x , 5x , 9x , 14x

as we know that

sum of measures of all angles of quadrilateral is 360

so

3x + 5x + 9x + 14x = 360

31x = 360

x = 360 /31

so 3x = 3 × 360 /31

= 1080/31

5x = 5 × 360 / 31

= 1800/31

9x = 9 × 360/31

= 3240/31