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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fcc543a-44ee-4c61-af4d-e2f791413018%2F53d0da74-e15c-431d-831c-48d6250c553c%2Fhcqqgnd_processed.jpeg&w=3840&q=75)
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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