SOLUTION: Find the measure of Each Exterior Angle (EEA= 360/# of sides) AND Each Interior Angel (EIA =180(n-2)/n or answer to EEA subtracted from 180). N=15 *

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Question 1155418: Find the measure of Each Exterior Angle (EEA= 360/# of sides) AND Each Interior Angel (EIA =180(n-2)/n or answer to EEA subtracted from 180). N=15 *

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
regular polygon has 15 sides.
each interior angle would be equal to 180 * 13 / 15 = 156 degrees.
each exterior angle would be equal to 360 / 15 = 24 degrees.
156 + 24 = 180 degrees.
the interior angle is supplementary to the exterior angle, as it should be, so this checks out.
the total number of interior degrees would be 15 * 156 = 2340 degrees.
180 * (n - 2) becomes 180 * (15 - 2) becomes 180 * 13 = 2340 degrees, so that checks out as well.