The number of sides in polygon is 4
Solution:
Given that measure of an interior angle of a regular polygon is 90
To find: number of sides in polygon
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180
S = 180(n - 2)
Measure of interior angle = 90
Therefore, for "n" sides we get,
S = 90n
Therefore,
90n = 180(n - 2)
90n = 180n - 360
90n - 180n = -360
-90n = -360
90n = 360
[tex]n = \frac{360}{90} = 4[/tex]
Thus the number of sides in polygon is 4
