Find the value of x that makes m || n.
150°
AE
(4x - 61°
n
Lines m and n are parallel when z =

Answer:
[tex] x = 39 [/tex]
Step-by-step explanation:
150° = (4x - 6)° (corresponding angles are congruent if m is parallel to n)
Therefore, use the equation to solve for x as follows:
[tex] 150 = 4x - 6 [/tex]
Add 6 to each side of the equation
[tex] 150 + 6 = 4x - 6 + 6 [/tex]
[tex] 156 = 4x [/tex]
Divide both sides by 4
[tex] \frac{156}{4} = \frac{4x}{4} [/tex]
[tex] 39 = x [/tex]
[tex] x = 39 [/tex]