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
Topic Video
Question

Transcribed Image Text:**Problem 4: Find the measure of angle 2.**
The diagram is a triangle with one of its interior angles labeled as angle "2." The triangle has two known angle measures: 48.3° and 26.8°. Additionally, a line segment extends horizontally from the base of the triangle, forming an unknown angle (angle 2) with its inclined side.
Since the sum of the angles in a triangle is always 180°, you can find the measure of angle 2 by subtracting the sum of the known angles from 180°.
1. **Known Angles:**
- One angle is 48.3°,
- Another angle is 26.8°.
2. **Calculation:**
- Sum of known angles = 48.3° + 26.8° = 75.1°
- Measure of angle 2 = 180° - 75.1° = 104.9°
Therefore, the measure of angle 2 is **104.9°**.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
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
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning