Question
Given l, \parallel, m, \parallel, nl∥m∥n, find the value of x.
l
m
n
x°
117°
l
m
n
x°
117°
Answers
GPT-4o mini
Based on the information you provided, it looks like we are dealing with two parallel lines \( l \) and \( m \), and a transversal line \( n \) that intersects them at angles \( x° \) and \( 117° \).
When two parallel lines are intersected by a transversal, several angle relationships are formed. The angle formed on the same side of the transversal (which is the angle \( x \) and \( 117°\)) are supplementary angles, which means they add up to \( 180° \).
Thus, we can set up the equation:
\[
x + 117° = 180°
\]
To find \( x \), we will subtract \( 117° \) from \( 180° \):
\[
x = 180° - 117°
\]
Now, performing the subtraction:
\[
x = 63°
\]
Thus, the value of \( x \) is
\[
\boxed{63}
\] degrees.
When two parallel lines are intersected by a transversal, several angle relationships are formed. The angle formed on the same side of the transversal (which is the angle \( x \) and \( 117°\)) are supplementary angles, which means they add up to \( 180° \).
Thus, we can set up the equation:
\[
x + 117° = 180°
\]
To find \( x \), we will subtract \( 117° \) from \( 180° \):
\[
x = 180° - 117°
\]
Now, performing the subtraction:
\[
x = 63°
\]
Thus, the value of \( x \) is
\[
\boxed{63}
\] degrees.