Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
2. Areas of Trapezoids, Rhombuses, and Kites
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Exercise 50 Page 628

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

140

Practice makes perfect
Let's find the measure of an interior angle of a regular nonagon, which is a polygon with 9 sides. Recall that the measure of each interior angle of a regular n -gon is ( n-2)180 n. To find the measure of an interior angle of a nonagon we have to substitute 9 for n in this expression.

( 9-2)180/9=140 The measure of the interior angle is 140.