Question

Four angles of a quardrilateral are in the ratio 3 : 5 : 7 : 9.which is the greatest angle?

Answer 1

let the Angles of a quadrilateral be 3x,5x,7x and 9x
sum of Angles of a quadrilateral is 360°
angle1+angle2+angle3+angle4=360°
3x+5x+7x+9x=360
24x=360
x=360/24
x=15
angle1=3x= 45°
angle2=5x=75°
angle3=7x=105°
angle4=9x=135°
angle 4 is the greatest angle