Answer:
m∠2 = 10 11/18°
Step-by-step explanation:
Vertical angles are equal to one another.
[tex]5x+12=23x+17\\\\12=18x+17\\\\-5=18x\\\\-\frac{5}{18}=x[/tex]
Now substitute the value for the variable to find m∠2.
[tex]23(-\frac{5}{18})+17\\\\-\frac{115}{18}+17\\\\\frac{191}{18}=10\frac{11}{18}[/tex]