Question

the four angle of a quadrilateral are in the ratio 2:3:5:8.then what is the difference between largest and smallest angle of the quadrilateral​

Answer 1

Let the ratios be 2x:3x:5x:8x

Angle sum property of a quadrilateral :-

2x+3x+5x+8x = 360°

18x = 360°

x = 360°/18

x = 20°

Therefore, 2x = 2x20° = 40°

3x = 3x20° = 60°

5x = 5x20° = 100°

8x = 8x20° = 160°

So, the largest angle = 160°

the smallest angle = 40°

Hope this will help you..........

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