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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 4 Page 504

Recall the Polygon Angle-Sum Theorem, which states that the sum of the measures of the interior angles of a regular n -gon is (n-2)* 180^(∘).

3780^(∘)

We want to find the sum of the interior angles of the given regular polygon. Recall the Polygon Angle-Sum Theorem.

Polygon Angle-Sum Theorem
The sum of the measures of the interior angles of a regular n -gon is given by: (n-2)* 180^(∘)

To find the sum of the measures of the interior angles of a 23 -gon, we substitute 23 for n in this expression. ( 23-2)* 180^(∘)= 3780^(∘)