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 Statement:**
If \( m \angle SXT = 37^\circ \), then what is \( m \angle RXU \)?
**Diagram Explanation:**
The provided diagram consists of two intersecting lines creating several angles at point X:
- Line TX extends to the top and line SX extends to the right.
- Line VX extends to the left and UW extends downward.
- Angles are labeled with numbers at the intersection point X:
- \(\angle 1\) is created by the lines TX and SX.
- \(\angle 2\) is between SX and VX.
- \(\angle 3\) is between VX and TX.
- \(\angle 4\) is between VX and UW.
- \(\angle 5\) is between UW and SX.
- \(\angle 6\) is between UW and VX.
**Given Information:**
- \( m \angle SXT = 37^\circ \)
**Goal:**
Find \( m \angle RXU \).
**Answer Input:**
\[ \text{Answer: } m \angle RXU = \text{[Box to input answer]} \]
**Solution Approach:**
To solve this problem, note that:
- Angles \(\angle SXT\) and \(\angle RXU\) are vertical angles and therefore equal.
- Hence, \( m \angle RXU = 37^\circ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a79dcac-a3cb-4e2b-a227-03982a48fb50%2F879bc4bd-73c3-4380-88bd-4417640a1a49%2Fcdmvb8k_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If \( m \angle SXT = 37^\circ \), then what is \( m \angle RXU \)?
**Diagram Explanation:**
The provided diagram consists of two intersecting lines creating several angles at point X:
- Line TX extends to the top and line SX extends to the right.
- Line VX extends to the left and UW extends downward.
- Angles are labeled with numbers at the intersection point X:
- \(\angle 1\) is created by the lines TX and SX.
- \(\angle 2\) is between SX and VX.
- \(\angle 3\) is between VX and TX.
- \(\angle 4\) is between VX and UW.
- \(\angle 5\) is between UW and SX.
- \(\angle 6\) is between UW and VX.
**Given Information:**
- \( m \angle SXT = 37^\circ \)
**Goal:**
Find \( m \angle RXU \).
**Answer Input:**
\[ \text{Answer: } m \angle RXU = \text{[Box to input answer]} \]
**Solution Approach:**
To solve this problem, note that:
- Angles \(\angle SXT\) and \(\angle RXU\) are vertical angles and therefore equal.
- Hence, \( m \angle RXU = 37^\circ \).
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