Question

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

Answer 1

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.

Answer 2

100 : 40: 60: 160

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