SOLUTION: If a regular polygon has an interior angle of 179 degrees how many sides does it have?

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Question 509420: If a regular polygon has an interior angle of 179 degrees how many sides does it have?
Found 2 solutions by jerryguo41, solver91311:
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
So to solve this, you have to know one of two conditions
1)All Regular polygons exterior angles = 360 degrees
2)Exterior angle is 180-interior angle.
180-179=1
3)Set equation for exterior angles
x=number is sides
x=360
4)There are 360 in a regular polygon that has 179 degree interior angles.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the measures of the interior angles of any polygon is given in degrees by:



where is either the number of interior angles or the number of sides.

Therefore, the measure, in degrees, of one interior angle of a regular polygon is given by:



Hence, for your problem:



Solve for

John

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