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18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.

Sagot :

Mhanifaidn

Answer:

  • 22

Step-by-step explanation:

Let the number of sides ne n

Sum of interior angles:

  • 180(n - 2)

Sum of exterior angles:

  • 360

We have equation below to solve for n:

  • 180(n - 2) = 10*360
  • n - 2 = 20
  • n = 22
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