SOLUTION: the sum of the polygon is 20 right angle. How many sides does the polygon have?

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Question 1117316: the sum of the polygon is 20 right angle. How many sides does the polygon have?
Answer by ikleyn(52887) About Me  (Show Source):
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the sum of the highlight%28interior%29 highlight%28angles%29 highlight%28of%29 highlight%28the%29 polygon is 20 right angles. How many sides does the polygon have?
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We are given that the sum of interior angles of the polygon is 20*90° = 1800°.


There is the formula for the sum of interior angles of a polygon via the number of its sides

S = (n-2)*180°.


Thus you have an equation to find "n":


(n-2)*180° = 1800°.


It gives you n - 2 = 1800%2F180 = 10.


Hence, n = 12 + 2 = 12.


Answer.  The number of sides of the polygon is 12.

Solved.