What is the sum of the measures of the interior angles of an octagon?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 14CR: One side of a triangle is 10 cm longer than a second side, and the third side is 5 cm longer than...
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**Question:**

What is the sum of the measures of the interior angles of an octagon?

**Explanation:**

To find the sum of the interior angles of a polygon, you can use the formula:

(Sum of interior angles) = (n - 2) × 180°

where n is the number of sides of the polygon.

For an octagon (which has 8 sides):
(Sum of interior angles) = (8 - 2) × 180° = 6 × 180° = 1080°

Therefore, the sum of the measures of the interior angles of an octagon is 1080 degrees.
Transcribed Image Text:**Question:** What is the sum of the measures of the interior angles of an octagon? **Explanation:** To find the sum of the interior angles of a polygon, you can use the formula: (Sum of interior angles) = (n - 2) × 180° where n is the number of sides of the polygon. For an octagon (which has 8 sides): (Sum of interior angles) = (8 - 2) × 180° = 6 × 180° = 1080° Therefore, the sum of the measures of the interior angles of an octagon is 1080 degrees.
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