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MariettaO [177]
3 years ago
8

Kevin claims that the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself is 156° sinc

e 180(15−2)15=156. Decide if Kevin is correct. If Kevin is correct, enter 156 below. If Kevin is incorrect, enter the correct value of the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for calculating the interior angle of a polygon is expressed as;

sum of internal angle = (n-2)180 where;

n is the number of sides of the polygon in consideration.

Given a 15 sided polygon, n = 15

sum of internal angle = (15-2)180

sum of internal angle = (13)180

sum of internal angle = 2340

Hence kevin is wrong, the correct answer is 2340

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