Question

the measure of the four angles of a quadrilateal is in the ration 3:5:9:13 the measure of the largest angle is

Answer 1

3x+5x+9 x+13x=360
30x=360
x=360/30
=13

Answer 2

let the measures of the four angles of a quadrilateral be 3x, 5x, 9x, 13x
sum of all angles of a quadrilateral = 360 degree
3x + 5x +9x +13x =360
30x = 360
x = 360/30
x = 12
now the measures of the angle = 3x = 3*12=36 deg
5x = 5*12 = 60 deg
9x = 9*12= 108 deg
13x = 13*12 = 156 deg
the measure of the largest angle is 156 deg