Question

The four angle of a quadrilateral are in the ratio 2:3:5:6 find the measures of each angle

Answer 1

Let the unit of ratio be x.

so 2x+3x+5x+6x=360°. ( sum of all angles of a quardrilateral is 360°)

so 16x =360°

x=360°/16

x= 22.5°

2x= 2×22.5= 45°

3x= 3×22.5= 67.5°

5x= 5×22.5= 112.5°

6x= 6×22.5= 135°