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An octagon may have 1, 2, 4 or 8 angles of rotation.
In one full turn, which is 360 degrees, there are exactly four right angles. Each right angle measures 90 degrees, so when you multiply 90 degrees by 4, you get 360 degrees. Therefore, one full turn encompasses four right angles.
Four of them because 4*90 = 360 degrees which is a full revolution
4 right angles, no other angles.