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10. MULTIPLE CHIOCE What is m2 UVW? C 81 А 39 B 42 138° D 138 39° W.

10. MULTIPLE CHIOCE What is m2 UVW? C 81 А 39 B 42 138° D 138 39° W.

Elementary Geometry For College Students, 7e
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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Certainly! Below is a transcription and explanation suitable for an educational website. --- **10. MULTIPLE CHOICE:** What is \( m\angle UVW \)? A) 39 B) 42 C) 81 D) 138 **Diagram Explanation:** The diagram shows three lines intersecting at point V. The lines are labeled U, V, and W, forming angles at point V. - Line \(\overrightarrow{UV}\) and \(\overrightarrow{VW}\) form an angle of 39°. - Line \(\overrightarrow{VW}\) extends in the opposite direction, forming a linear pair of angles. - The angle on the opposite side of \(\angle UVW\) is marked as 138°. To find \( m\angle UVW \), note that \(\angle UVW\) and the angle marked 138° are supplementary angles because they form a linear pair. Therefore, \( m\angle UVW = 180° - 138° = 42° \). The correct answer is B) 42.
Transcribed Image Text:Certainly! Below is a transcription and explanation suitable for an educational website. --- **10. MULTIPLE CHOICE:** What is \( m\angle UVW \)? A) 39 B) 42 C) 81 D) 138 **Diagram Explanation:** The diagram shows three lines intersecting at point V. The lines are labeled U, V, and W, forming angles at point V. - Line \(\overrightarrow{UV}\) and \(\overrightarrow{VW}\) form an angle of 39°. - Line \(\overrightarrow{VW}\) extends in the opposite direction, forming a linear pair of angles. - The angle on the opposite side of \(\angle UVW\) is marked as 138°. To find \( m\angle UVW \), note that \(\angle UVW\) and the angle marked 138° are supplementary angles because they form a linear pair. Therefore, \( m\angle UVW = 180° - 138° = 42° \). The correct answer is B) 42.
**Given**: \( k \parallel m \), find each of the following. 7. The value of \( x \). 8. The value of \( y \). 9. The measure of \(\angle 6\). **Diagram Description**: - Two parallel lines \( k \) and \( m \) are intersected by a transversal. - There are four angles formed at the intersection. - One angle is labeled \((5x - 7)^\circ\). - Another angle is labeled \((4y + 3)^\circ\). - A third angle is labeled \((3x + 17)^\circ\). - The fourth angle, located below the transversal on the same side as the \((3x + 17)^\circ\) angle, is marked as \(\angle 6\).
Transcribed Image Text:**Given**: \( k \parallel m \), find each of the following. 7. The value of \( x \). 8. The value of \( y \). 9. The measure of \(\angle 6\). **Diagram Description**: - Two parallel lines \( k \) and \( m \) are intersected by a transversal. - There are four angles formed at the intersection. - One angle is labeled \((5x - 7)^\circ\). - Another angle is labeled \((4y + 3)^\circ\). - A third angle is labeled \((3x + 17)^\circ\). - The fourth angle, located below the transversal on the same side as the \((3x + 17)^\circ\) angle, is marked as \(\angle 6\).
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