Question

the four angles of a quadrilateral are in the ratio 2:3:5:8 find the anglers

Answer 1

Let the angle be of measure x

Angles according to ratios= 2x,3x,5x,8x

Sum of angles = 2x+3x+5x+8x
=18x

18x=360°
x=360/18
=20°

Therefore the angles are:-

2x= 2×20° = 40°
3x= 3×20°= 60°
5x=5×20° = 100°
8x= 8×20° = 160°

THIS IS VERIFIED AS (40+60+100+160)= 360°

Answer 2

2x:3x:5x:8x
Sum of all ratio

2x,3x,5x,8x
18x — 360
360/18
20