Question

5. The angles in a quadrilateral ABCD are in the ratio 2:3:5:8. Find the measure of each
angle in the quadrilateral.

Answer 1

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sum of angles of quadrilateral is 360°

now,

2x+3x+5x+8x=360°

18x=360

x=360/18

x=20

2x=2(20)=40°

3x=3(20)=60°

5x=5(20)=100°

8x=8(20)=160°

Answer 2

Answer:

let all angles be :-

2x, 3x, 5x, 8x

2x+3x+5x+8x= 360° ( angle sum property)

18x= 360°

x= 360/18

x=20

____

2x 3x 5x 8x

2×20 3×20 5×20 8×20

40 60 100 160

therefore all angles of quadrilateral are :-

40,60,100,160