Question 233544
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.