Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![**Finding the Sum of Interior Angles of a Polygon**
**Question:**
Find the sum of the measures of the interior angles of the given figure.
**Image Description:**
The image shows a polygon, specifically, an octagon (an 8-sided figure).
**Answer Choices:**
- 1980°
- 1440°
- 1260°
- 1620°
**Steps to Solve:**
To find the sum of the measures of the interior angles of a polygon, you can use the formula:
\[ \text{Sum of Interior Angles} = (n - 2) \times 180^\circ \]
where \( n \) is the number of sides in the polygon.
For an octagon (8-sided polygon):
\[ \text{Sum of Interior Angles} = (8 - 2) \times 180^\circ \]
\[ \text{Sum of Interior Angles} = 6 \times 180^\circ \]
\[ \text{Sum of Interior Angles} = 1080^\circ \]
Therefore, the correct answer is not listed among the options provided. There might be a typo or miscalculation in the provided answer choices. The sum of the interior angles of an octagon should be **1080°**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37df9595-2ec3-4221-a2b4-2e8d766f2ab6%2F30ed7a78-2431-4190-a45d-14b4644681bf%2Fe71241f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Sum of Interior Angles of a Polygon**
**Question:**
Find the sum of the measures of the interior angles of the given figure.
**Image Description:**
The image shows a polygon, specifically, an octagon (an 8-sided figure).
**Answer Choices:**
- 1980°
- 1440°
- 1260°
- 1620°
**Steps to Solve:**
To find the sum of the measures of the interior angles of a polygon, you can use the formula:
\[ \text{Sum of Interior Angles} = (n - 2) \times 180^\circ \]
where \( n \) is the number of sides in the polygon.
For an octagon (8-sided polygon):
\[ \text{Sum of Interior Angles} = (8 - 2) \times 180^\circ \]
\[ \text{Sum of Interior Angles} = 6 \times 180^\circ \]
\[ \text{Sum of Interior Angles} = 1080^\circ \]
Therefore, the correct answer is not listed among the options provided. There might be a typo or miscalculation in the provided answer choices. The sum of the interior angles of an octagon should be **1080°**.
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