SOLUTION: The measure of an interior angle of a regular polygon is given which is 90. find the number of sides in each polygon

Question 394503: The measure of an interior angle of a regular polygon is given which is 90. find the number of sides in each polygon
Found 2 solutions by Alan3354, jrfrunner:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The exterior angles are also 90�
The sum of the exterior angles of ALL polygons is 360�.
360/90 = 4

Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
It is known that
The sum of the interior angles of a "n" sided polygon is =(n-2)*180
--
assuming that all the interior angles are equal, then a single interior angle will measure (n-2)*180/n
==
Since you state that the interior angle is 90 then
(n-2)*180/n=90
180n-360=90n
90n=360
n=4
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