Let’s find whether the following measurement of each interior angle is possible for a regular polygon-
144°
We know the basic formula for the sum of all interior angles of a polygon with n sides.

Here measure of each interior angle = 144°








n = 360 / 36
n = 10
Since the number of sides is a whole number, the given interior angle is possible for regular polygon.
The regular polygon is a decagon as the total number of sides is 10.
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