3) Find the value of x. to 61° 87°

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
icon
Related questions
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Ratios
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning