McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Angles of Polygons
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Exercise 23 Page 480

The measure of each interior angle of a regular n -gon is (n-2)180n.

144

Practice makes perfect
Recall the Corollary to the Polygon Interior Angles Sum Theorem.

Corollary to the Polygon Interior Angles Sum Theorem

The measure of each interior angle of a regular n -gon can be found using the expression (n-2)180n.

A decagon is a polygon with 10 sides. Therefore, to find the measure of an interior angle of a decagon, we have to substitute 10 for n in this expression. ( 10-2)180/10=144