Question

the angles of the quadrilateral are in th ratio of 2:3:5:8. find the measure of each angle​

Answer 1

Answer:

let the angles be 2x,3x,5x,8x

W.K.T, sum of angles in a quadrilateral was 360°

=> 2x+3x+5x+8x = 360

=> 18x = 360

=> x = 20

therefore, the angles are 40°,60°,100°,160°

Answer 2

Answer:

sum of the 4 angles of a quadrilateral is 360°

1st angle=2×360°/(2+3+5+8)=2×360°/18=2×20°=40°

2nd angle =3×360°/18=3×20°=60°

3rd angle=5×360°/18=5×20°=100°

4th angle=8×360°/18=8×20°=160°