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Question

Find each angle of a pentagon if its angles are in the ratio of 1:2:3:5:9

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Solution

Sum of all the angles of a pentagon=5400
Let the angles be x,2x,3x,5x and ,9x
x+2x+3x+5x+9x=5400
20x=5400
x=270
Angles are 270,540,810,1350, and 2430

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