
Concept explainers
Use mathematical induction to prove this formula for a general

Answer to Problem 76E
Explanation of Solution
Calculation:
Consider the given figures.
Consider triangle,
Sum of the angles,
Now consider square,
Sum of the angles
Sum of the angles of polygon,
So that the formula for sum of the angle in regular polygon of
Apply mathematical induction,
Let
First prove the statement for triangle
Hence, formula is valid for triangle.
Now assume that formula is valid for some integer
Now let see
That is you must prove sum of angles in a regular polygon of
Consider the polygon of
The polygon is divided in two patrs by diagonal as shown, in triangle
By induction method sum of angles in a polygon of
And sum of angles in a triangle is
So total sum is
Hence,
Chapter 9 Solutions
Precalculus with Limits
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