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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Question

Assuming that lines ?and ?are parallel, what is the value of ∠??

The image illustrates a geometric diagram featuring two parallel lines, labeled \( m \) and \( n \), depicted in blue. These lines are intersected by a diagonal transversal line, labeled \( t \). At the point of intersection with the upper parallel line \( m \), there is a marked angle measuring \( 152^\circ \). At the intersection with the lower parallel line \( n \), the angle is labeled \( z \). This setup is commonly used in geometry to explore the relationships between alternate interior angles. Since lines \( m \) and \( n \) are parallel, angle \( 152^\circ \) and angle \( z \) are supplementary angles. Therefore, angle \( z \) can be calculated as \( 180^\circ - 152^\circ = 28^\circ \).
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Transcribed Image Text:The image illustrates a geometric diagram featuring two parallel lines, labeled \( m \) and \( n \), depicted in blue. These lines are intersected by a diagonal transversal line, labeled \( t \). At the point of intersection with the upper parallel line \( m \), there is a marked angle measuring \( 152^\circ \). At the intersection with the lower parallel line \( n \), the angle is labeled \( z \). This setup is commonly used in geometry to explore the relationships between alternate interior angles. Since lines \( m \) and \( n \) are parallel, angle \( 152^\circ \) and angle \( z \) are supplementary angles. Therefore, angle \( z \) can be calculated as \( 180^\circ - 152^\circ = 28^\circ \).
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