SOLUTION: It is possible for the interior angles of a regular polygon to measure 145°

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Question 293001: It is possible for the interior angles of a regular polygon to measure 145°
Answer by College Student(505) About Me  (Show Source):
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No. The closest angle measurement to 145 degrees in a regular polygon are:

Decagon (10 sides) at 140 degrees.
Hendecagon (11 sides) at 147.273 degrees.


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http://www.mathsisfun.com/geometry/polygons.html