Problema Solution
Find the value of n for each regular n-gon described:
Each interior angle of the regular n-gon has a measure of 156 degrees.
Each exterior angle of the regular n-gon has a measure of 9 degrees.
Answer provided by our tutors
Interior angle of a polygon is (180(n-2)/n)
or 180*(n-2)/n=156
or, (n-2)/n = 156/180
or, 13n = 15n - 30
so, n = 15
agian,
exterior angle = 360/n
so, n = 360/9 = 40