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Question 4 (1 point) What value of x would make lines a parallel to line b? a -(6x – 30)* 96 X =

Question 4 (1 point) What value of x would make lines a parallel to line b? a -(6x – 30)* 96 X =

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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what value of x would make lines a parallel to line b?

**Question 4 (1 point)** *What value of x would make line a parallel to line b?* A diagram is shown with two parallel lines and a transversal. The transversal intersects line a forming a 96° angle, and intersects line b forming an angle labeled as \((6x - 30)^\circ\). To find the value of \(x\) that makes lines a and b parallel, use the concept of corresponding angles being equal. Therefore, set the expression equal to 96°: \[ 6x - 30 = 96 \] Solve for \(x\). **X =** _______ Blank 1: **Question 5 (1 point)** *What value of x would make line l parallel to line m?* A diagram is shown with two parallel lines and a transversal. The transversal creates angles labeled \(4x + 15\) and \(147^\circ\). To make line l parallel to line m, set these angles equal because they are alternate interior angles: \[ 4x + 15 = 147 \] Solve for \(x\).
Transcribed Image Text:**Question 4 (1 point)** *What value of x would make line a parallel to line b?* A diagram is shown with two parallel lines and a transversal. The transversal intersects line a forming a 96° angle, and intersects line b forming an angle labeled as \((6x - 30)^\circ\). To find the value of \(x\) that makes lines a and b parallel, use the concept of corresponding angles being equal. Therefore, set the expression equal to 96°: \[ 6x - 30 = 96 \] Solve for \(x\). **X =** _______ Blank 1: **Question 5 (1 point)** *What value of x would make line l parallel to line m?* A diagram is shown with two parallel lines and a transversal. The transversal creates angles labeled \(4x + 15\) and \(147^\circ\). To make line l parallel to line m, set these angles equal because they are alternate interior angles: \[ 4x + 15 = 147 \] Solve for \(x\).
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