The internal (inside) angles of any regular polygon are equal to (n - 2) x 180, where n is the number of sides in the polygon. For example, the sum of the internal angles inside a six-sided shape (hexagon) are equal to (6 - 2) x 180 = 720 degrees.
To find out how much each angle measures, simply divide the result of this by the number of sides - so, 720 / 6 = 120 degrees. Each internal angle in a hexagon is equal to 120 degrees.
The exterior angles of a 15 sided shape add up to 360 degrees
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The exterior angles of a 15 sided shape add up to 360 degrees
The interior angles of a 24 sided shape add up to 3960 degrees
The internal angles of an n-sided shape add to (n-2)*180 degrees. So, for an 8-sided shape, they would add to 6*180 = 1080 degrees.
The total sum of angles of an n-sided shape is (n-2)x180o Hence, the angles in a five sided shape add up to (5-2)x180o = 3 x 180o = 540o
The interior angles of a 9 sided nonagon add up to 1260 degrees and its exterior angles add up to 360 degrees
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The 8 interior angles of an 8 sided octagon add up to 1080 degrees
The interior angles of a 15 sided polygon sum to 2340 degrees