SOLUTION: what is the number of sides of a convex polygon if the measures of its interior angles have a sum of 1260 degrees?
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Question 21031: what is the number of sides of a convex polygon if the measures of its interior angles have a sum of 1260 degrees?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Remember that the sum of the interior angles of a polygon is given by:
Where S = the sum of the angles (1260 degrees in this case) and n = the number of sides of the polygon.
Divide both sides by 180.
Add 2 to both sides.
The polygon has 9 sides.
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