SOLUTION: a regular polygon's sum of its interior angles is 4860, what is this polygon called? a regular polygon has an interior angle that measures 179.64 what polygon is it? this regular

Algebra ->  Polygons -> SOLUTION: a regular polygon's sum of its interior angles is 4860, what is this polygon called? a regular polygon has an interior angle that measures 179.64 what polygon is it? this regular      Log On


   



Question 233544: a regular polygon's sum of its interior angles is 4860, what is this polygon called?
a regular polygon has an interior angle that measures 179.64 what polygon is it?
this regular polygons sum of its interior angles is 7380 what is that polygon?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a regular polygon's sum of its interior angles is 4860, what is this polygon called?
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The sum of the exterior angles is always 360
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360+4860 = 5220 degrees
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Each pair of interior/exterior angles has a sum of 180
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5220/180 = 29
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So the polygon has 29 sides and is called a 29-gon.
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a regular polygon has an interior angle that measures 179.64 what polygon is it?
this regular polygons sum of its interior angles is 7380 what is that polygon?
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The corresponding exterior angle has 180-179.64 = 0.36 degrees.
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The sum of all the exterior angles is 360
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360/0.36 = 360/(36/100) = 100(10) = 1000
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The polygon has 1000 sides and is called a 1000-gon
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Cheers,
Stan H.