SOLUTION: What is the measure of an interior angle in a regular polygon with 15 sides?

Question 1151125: What is the measure of an interior angle in a regular polygon with 15 sides?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
For an n-sided polygon there are triangles.
The sum of the interior angles is therefore
In a -sided polygon:
Sum interior angles = ==°
Each interior angle of the regular polygon = °

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

What is the measure of an interior angle in a regular polygon with 15 sides?

It's as SIMPLE as this:
The sum of the exterior angles of ANY polygon is 360^o. With this being a REGULAR 15-sided polygon, each EXTERIOR angle =
Therefore, EACH interior angle =
That's it! Nothing COMPLICATED and/or time-consuming!
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