Problema Solution

Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning.

A. 165 degrees

B. 171 degrees

C. 75 degrees

D. 40 degrees

Answer provided by our tutors

interior angle = 180*(n-2)/n


so,165 degree is possible because n = 24

171 degree is possible because n = 40


75 degree not possible because n = 3.42


40 degree not possible because n = 2.57