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