SOLUTION: fine the interior angle of a regular polygon with [a]8sides [b]20sides [c]24sides

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Question 1151089: fine the interior angle of a regular polygon with
[a]8sides
[b]20sides
[c]24sides
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is:
Sum of Interior Angles = %28n-2%29%2A180°
Each Angle (of a Regular Polygon) = %28n-2%29%2A180%2Fn°.
the interior angle of a regular polygon with
[a]8sides will be %28n-2%29%2A180%2Fn=%288-2%29180%2F8=6%2A180%2F8=135°
[b]20sides will be %28n-2%29%2A180%2Fn=%2820-2%29180%2F20=18%2A180%2F20=162°
[c]24sides will be %28n-2%29%2A180%2Fn=%2824-2%29%2A180%2F24=22%2A180%2F24=165°




Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the interior angle of a regular polygon with
[a]8 sides
-----
A different method:
Exterior angles are 360/n for n sides.
360/8 = 45 degs
Interior = 180 - Exterior
Interior = 180 - 45 = 135 degs.
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[b]20 sides
[c]24 sides