SOLUTION: The sum of interior angles of a convex polygon is ten times the sum of its exterior angles. How many sides does the polygon have?

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Question 836541: The sum of interior angles of a convex polygon is ten times the sum of its exterior angles. How many sides does the polygon have?
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
The sum of interior angles of a convex polygon is ten times the sum of its exterior angles. How many sides does the polygon have?
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A:
Let n = number of sides
180(n - 2) = 10(360)
n - 2 = 3600/180
n = highlight%2822%29 sides