Each right angle (90o) has a turn, so the answer is 15 turns.
But, as a square can only have 4 right angles, 15 right angles would need to spiral (squarely) like stairs in a tower.
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A Pentadecagon had 15 sides
There are 435 angles in the figure because (30/2)(30-1) is equal to 15 * 29 and the answer is 435
The interior angles of a 15-agon add up to 2340 degrees
The interior angles of a regular polygon must be 60 degrees or greater.
15 equal sides, since 360/24=15