Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
4. Polygons and Angles
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Exercise 18 Page 403

The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.

3960^(∘)

Practice makes perfect
Let's start by recalling the rule for the sum of the measures of the interior angles of a polygon.

Interior Angle Sum of a Polygon

The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.

To find the sum of the measures of the interior angles of a 24-gon, we will substitute 24 for n in this expression.
(n-2)180
( 24-2)180
Evaluate
(22)180
3960
The sum of the interior angles of a 24-gon is 3960^(∘).