(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
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the formula for an n-sided polygon to find it's interior angle is (n-2)180/n so the answer is 156 degree's.
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The interior angle of a polygon in degrees is 180*(n-2)/n, where n is the number of sides of the polygon. In radians, it is pi*(n-2)/n.
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
remember this formula for the number of sides = n sum of internal angles of a regular polygon = [2x(n-2)x90 degree] each interior angle of a regular polygon = [2x(n-2)x90 degree]/n each exterior angle of a regular polygon = 360 degree/n for your question: each exterior angle of a 15 sided regular polygon = 360 degree/15 = 24 degree