SOLUTION: Determine if it is possible for a regular polygon to have an interior angle with the given angle measures. Explain you reasoning. a.165 b.171 c.75

Question 954797: Determine if it is possible for a regular polygon to have an interior angle with the given angle measures. Explain you reasoning.
a.165 b.171 c.75 d.40
Please show the work.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Interior angles for a polygon follow the formula,

.
.
b)

.
.
c)

<--- Not an integer
You could have also guessed that since a triangle (3 sides) has an interior angle of 60 and a square (4 sides) has an interior of 90, a value between 60 and 90 would not work.
.
.
d)

<--- Not an integer
You could have also guessed since a triangle has the fewest sides and it's interior angle is 60. So any angle less than 60 would not work.
.
Only a and b are valid interior angles.

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