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The sum of the measures of the interior angles of a polygon is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have? ...?

Respuesta :

If the sum of the measures of the interior angles is equal to five times the sum of the measures of the exterior angles, then: 

180*(n-2) = 5*360 

Divide both sides by  180 degree:

n-2 = 5*2 = 10 ; n = 12

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