Answer:
[tex] x = 12 [/tex]
Converse: Alternate Interior Angles Converse
Step-by-step explanation:
By the Alternate Interior Angles Converse, if [tex] (14x - 23) = (9x + 37) [/tex], then l || m.
Use the equation to solve for x as follows:
[tex] 14x - 23 = 9x + 37 [/tex]
Subtract 9x from each side
[tex] 14x - 23 - 9x = 9x + 37 - 9x [/tex]
[tex] 5x - 23 = 37 [/tex]
Add 23 to both sides
[tex] 5x - 23 + 23 = 37 + 23 [/tex]
[tex] 5x = 60 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{60}{5} [/tex]
[tex] x = 12 [/tex]
