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Total of exterior angles of a plane figure is always 360 degrees so 360/20 = 18 degrees. Alternatively interior angles of n sided figure always total (2n -4) right angles. In this case n = 20 so total interior angles = 36 right angles ie 3240 degrees and each angle = 3240/20 ie 162 degrees. Subtracting this from 180 gives 18 degrees. QED
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Earn +20 ptsQ: Measure of each exterior angle of a regular polygon with 20 sides?
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