Thr four angles of a quadrilateral L are in the ratio 5:2:3:8find the angle

100 : 40: 60: 160

Step-by-step explanation:

The angles of a quadrilateral add up to 360

If the ratio of angles are 5:2:3:8, multiply each by x

5x : 2x: 3x: 8x These are the angles in the quadrilateral

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

Combine like terms

18x = 360

Divide by 18

18x/18 = 360/18

x = 20

To find the angles of the quadrilateral, we can substitute for x

5x : 2x: 3x: 8x

5*20: 2*20: 3*20: 8:20

100 : 40: 60: 160

Ratio = 5:2:3:8

Sum of all internal angles = 360°

5x + 2x + 3x + 8x = 360°

18x = 360°

x = 20°

Therefore,

5x = 100°

2x = 40°

3x = 60°

8x = 160°

5:2:3:8 : : 100:40:60:160.