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
can you please solve this. it's really hard !.

Transcribed Image Text:Title: Solving for Missing Variables in Parallel Lines
Instructions:
Given parallel lines \( l \) and \( m \), find the value of each missing variable(s).
Diagram Description:
There are two parallel lines, \( l \) and \( m \), intersected by a transversal. Angles are formed at the intersection points:
- The angle on line \( l \) is labeled as \( (9x + 25)^\circ \).
- The angle opposite to it (by the intersection of the transversal and line \( m \)) is labeled \( (13x - 19)^\circ \).
- The angle on the transversal between lines \( l \) and \( m \) is labeled \( (17y + 5)^\circ \).
Instructions:
Calculate the values for \( x \) and \( y \).
Solutions:
- \( x = \) ______
- \( y = \) ______
Complete the following:
- Blank 1: ______
- Blank 2: ______
Note: Corresponding angles are equal, so set \( (9x + 25) = (13x - 19) \) and solve for \( x \). Similarly, use angle properties to find \( y \).
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