SOLUTION: The sum of a regular polygon's angle measures is 1440 degrees.
What is the measure of one of the angles of the regular polygon?
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Question 560370: The sum of a regular polygon's angle measures is 1440 degrees.
What is the measure of one of the angles of the regular polygon?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The sum (S) of the interior angles of a polygon of n sides is given by:
and S is given as 1440 so...
Divide both sides by 180.
Add 2 to both sides.
The regular polygon has 10 sides.
An interior angle (A) of a regular polygon of n sides is given by:
But and n = 10:
degrees.
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