SOLUTION: If an interior angle of a regular polygon measures 144�, how many sides does the polygon have?

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Question 881292: If an interior angle of a regular polygon measures 144�, how many sides does the polygon have?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
see the picture below after the comments.

you have 2 ways to do it.

first way:
the exterior angle is equal to 180 - the interior angle.
the sum of the exterior angles is always equal to 360 degrees.
find the exterior angle and divide it into 360 and you get the number of sides.

second way:
the formula for finding the interior angle is:
interior angle = (n-2) * 180 divided by n
since you already know the interior angle, use this formula to find n.

the picture shows you both calculations.

IA means interior angle.
EA means exterior angle.