Question

Four angles of a quadrilateral are in the ratio of 2:3:5:8. Find the each angle of quadrilateral.​

Answer 1

Answer:

angles are 40° , 60° , 100° , 160°

Step-by-step explanation:

angles ratio = 2:3:5:8

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

sum of all angles = 360°

2x + 3x + 5x + 8x = 360°

18x = 360°

x = 20°

so angles are 40° , 60° , 100° , 160°

Answer 2

Answer:

Let the measure of angle be x

let the measure of all angle is 2x,3x,5x,8x

therefore 2x+3x+5x+8x = 360° ------(sum of all angles of quadrilateral is 360°)

Therefore 18x=360

x= 360/18

x=20

Measure of angles are 2x=2*20=40

3x=3*20=60

5x=5*20=100

8x=8*20=160

Therefore the measure of all angles is 40°,60°,100°,160°.