SOLUTION: Prove by mathematical induction that the sum of the interior angles of a regular polygon of n sideas (n-1)180

Question 1024085: Prove by mathematical induction that the sum of the interior angles of a regular polygon of n sideas (n-1)180
Found 2 solutions by FrankM, ikleyn:
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
The answer is (N-2)180 and the induction is as follows -
A triangle has 3 sides and 180 degrees
A square has 4 sides and 360 degrees
A pentagon has 5 sides and 540 degrees
The relation between N sides and degrees, is (N-1)180
Try drawing the 3 figures. Draw one diagonal to cut the square into 2 triangles. Not draw 2 lines in the pentagon from one vertex, to make 3 triangles. Each triangle has 180 degrees.
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.
Prove by mathematical induction that the sum of the interior angles of a regular polygon of n sides is (n-2)180.
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1. (n-2)*180�. Not (n-1)*180�.

2. See the lesson Sum of interior angles of a polygon in this site.

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