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
Related questions
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
![**Problem 3: Find the value of x.**
The image depicts a circle with a triangle drawn such that one of its vertices touches the circle. The angles inside the triangle are marked as 61° and 87°. There is an external angle, adjacent to the 87° angle inside the triangle, marked as x°.
**Explanation of the figure:**
- A circle is tangent to one of the sides of a triangle.
- One of the interior angles of the triangle (touching the circle) measures 87 degrees.
- The angle adjacent to the 87-degree angle (forming an external angle with the 87-degree angle inside the triangle) is denoted as x.
- The third angle in the triangle, opposite the side that is tangent to the circle, measures 61 degrees.
The task is to find the value of x, which is the external angle adjacent to the 87-degree angle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42779bdc-66e8-47e8-8a59-0cd69b39b8c3%2Fd431934b-467c-426f-ab11-ebb71480ad8b%2Fu2mk51_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3: Find the value of x.**
The image depicts a circle with a triangle drawn such that one of its vertices touches the circle. The angles inside the triangle are marked as 61° and 87°. There is an external angle, adjacent to the 87° angle inside the triangle, marked as x°.
**Explanation of the figure:**
- A circle is tangent to one of the sides of a triangle.
- One of the interior angles of the triangle (touching the circle) measures 87 degrees.
- The angle adjacent to the 87-degree angle (forming an external angle with the 87-degree angle inside the triangle) is denoted as x.
- The third angle in the triangle, opposite the side that is tangent to the circle, measures 61 degrees.
The task is to find the value of x, which is the external angle adjacent to the 87-degree angle.
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