The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
Each angle would be 164.35 degrees
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The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.
The interior angles of a 23 sided polygon add up to 3780 degrees
Interior angles of an n-sided polygon total 180n - 360 degrees. 180n - 360 = 3780 so 180n = 3780 + 360 ie 4140 making n = 4140/180 ie 23 sides
a 23 sided polygon
A 23 sided polygon(shape) is called a icosikaitrigon, it can also be referred to as a 23-gon.