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
Question
![### Problem:
Find \( m \angle P \). The diagram is not to scale.
### Diagram Description:
The diagram shows two parallel lines, labeled \( j \) and \( k \), and two other parallel lines, labeled \( g \) and \( h \), intersecting \( j \) and \( k \).
At the intersection of line \( j \) with line \( h \), an angle is marked as 106°.
### Options:
- 106
- 64
- 84
- 74
### Solution Explanation:
Given that the lines \( j \) and \( k \) are parallel and intersected by line \( h \) forming a transversal, the corresponding angle where \( g \) intersects with \( k \) and line \( h \) also intersecting line \( k \) (forming angle \( P \)) should be equal to 106° due to the corresponding angles postulate.
Therefore, \( m \angle P = 106° \).
### Answer:
\[ \text{Answer: } 106 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ea68db9-9ac9-4be2-a7e0-76da98d9ee5e%2F3872b493-0630-4cff-ad36-5a685f0732c8%2Fwpy6usm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem:
Find \( m \angle P \). The diagram is not to scale.
### Diagram Description:
The diagram shows two parallel lines, labeled \( j \) and \( k \), and two other parallel lines, labeled \( g \) and \( h \), intersecting \( j \) and \( k \).
At the intersection of line \( j \) with line \( h \), an angle is marked as 106°.
### Options:
- 106
- 64
- 84
- 74
### Solution Explanation:
Given that the lines \( j \) and \( k \) are parallel and intersected by line \( h \) forming a transversal, the corresponding angle where \( g \) intersects with \( k \) and line \( h \) also intersecting line \( k \) (forming angle \( P \)) should be equal to 106° due to the corresponding angles postulate.
Therefore, \( m \angle P = 106° \).
### Answer:
\[ \text{Answer: } 106 \]
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