Question

14. The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the angles.​

Answer 1

Answer:

40° , 60° , 100° , 160° are the measures of angle.

Step-by-step explanation:

let their common multiple be x

so , 2x+3x+5x+8x=360°

(The sum of measures of all angles in quadrilateral is 360°)

therefore: 18x = 360°

x = 360÷18

x = 20°

therefore ,

2x = 2× 20 = 40°

3x = 3× 20 = 60°

5x = 5× 20 = 100°

8x = 8× 20 = 160°