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
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Transcribed Image Text:**Problem Statement:**
Solve for \( m \angle TUW \).
**Diagram Explanation:**
The diagram provided consists of four points: T, U, V, and W, forming two lines that intersect at point U. The main features are:
- **Line Segments:**
- TU is a straight line extending to the left from U.
- UV is a line extending to the right from U.
- UW is a line extending upwards to the left from U.
- **Angles:**
- \(\angle VUW = 96^\circ\) is marked in blue.
- \(\angle WUT = 134^\circ\) is marked in red, depicting a larger angle encompassing \(\angle VUW\).
**Solution Approach:**
1. \(\angle TUW\) is the larger angle formed by the segments UT and UW.
2. Since line TU is straight, the angles on one side add up to \(180^\circ\).
3. Therefore, \( m \angle TUW = 134^\circ \).
Thus, the measure of \( \angle TUW \) is \(134^\circ\).
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