1.

How many sides does a regular polygon have if each of its interior anglesis 165°? ​

Answer»

ne INTERIOR ANGLE is 165we know that measure of each interior angle of a REGULAR polygon is GIVEN by the equaltion 180(n-2)/nwhere n is the number of sidessince measure of interior angles are 165165 = 180(n-2)/n165n=180(n-2)165n=180n-360360 = 180n-165n360=15n   n  = 360/15    n  = 24hence the polygon is 24 sided.



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