How many sides does a regular polygon have if each of its interior angles is 172°?
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the circumstances, objects, or conditions by which one is surrounded. 2a : the complex of physical, chemical, and biotic factors (such as climate, soil, and living things) that act upon an organism or an ecological community and ultimately determine it
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45 sides
Step-by-step explanation:
A regular polygon with n sides has a total of (n−2)180° internal degrees. This can be understood as the number of triangles in which the polygon can be decomposed.A regular polygon with an interior angle of 172° has a total of
n 172°. So we have
n 172=(n−2)180 . Solving for n we have n =45
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