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The measure of any interior angle of a convex regular n-gon is (n − 2)π/n radians or (n − 2)180/n degrees.

for a decagon (10-2)*180/10=144 degrees=2.51327412287183 radians

Interior Angle=180 - (360/n)

180 - (360/10) = 180 - 36 = 144o

n= 360/(180 - Interior angle)

360/(180 - 144o) = 360/36 = 10 sides

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