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The sum of the measures of interior angles of a polygon is four times the sum of the measures of its exterior angles. Find the number of sides. Help I’ll gives brainliest

Respuesta :

Answer:

10 sides.

Step-by-step explanation:

The sum of the exterior angles pf all polygons is 360 so the sum of the interior angles in this one = 4*360 = 1440 degrees.

Sum of interior angles = 180(n - 2) where n = number of sides. So 1440 = 180(n-2). 180n - 360 = 1440 ; 180n = 1440+360 = 1800, So n = 1800/180= 10.

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