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Question

Three Angeles of quadrilateral is are in ratio 3:5:8. The mean of these three angles is 80°. Find all the angles

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Solution

Ratio of three angles is 3:5:8

mean of these angles is 80

.'. 3x+5x+8x/3=80

16x=240

x=15

therefore,

3x=45

5x=75

8x=120

let the remaining angle be y

45+75+120+y=360

240+y=360

y=120

finally, all the angles in the quadrilateral are 45,75,120,120


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