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An interior angle of a 15-gon can have any measure between 0 and 360 degrees (excluding the two end values). The magnitude of an angle can only be determined theoretically (as opposed to measuring it) if it is a REGULAR polygon.
The sum of the interior angles of a polygon (regular or not) with n sides can be shown to be (n-2)*180 degrees. For a 15-gon this would mean (15-2)*180 = 13*180 = 2340 degrees.
If the polygon is regular, then each of the 15 angles is equal to 2340/15 = 156 degrees.
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Earn +20 ptsQ: Why is 156 degrees the interior angle measure for a 15-gon?
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Continue Learning about Math & Arithmetic
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
What is the measure of a single interior angle is?
degrees
What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
What is the measure of an interior angle of a normal polygon with 15 sides?
Each interior angle will measure 156 degrees
How many degrees does one angle in a decagon measure?
Interior angle: 144 degrees
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