SOLUTION: How many sides does a regular polygon with each interior angle equal to 135 degrees?
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Question 378611: How many sides does a regular polygon with each interior angle equal to 135 degrees?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Note that the formula for the number of degrees of an n-sided convex polygon is . If the polygon is regular, the interior measure of each angle is .
If each interior angle is 135 degrees, then we can plug 135 for the interior measure and solve for n:
Thus, a regular octagon has interior angle measure of 135 degrees.
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