Answer:
[tex]x = 12.5[/tex] degrees
Step-by-step explanation:
Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.
We have that:
[tex]m<3 = 10x[/tex]
[tex]m<5 = 12x - 25[/tex]
Value of x:
Since they are congruent:
[tex]m<3 = m<5[/tex]
[tex]10x = 12x - 25[/tex]
[tex]-2x = -25[/tex]
[tex]2x = 25[/tex]
[tex]x = \frac{25}{2}[/tex]
[tex]x = 12.5[/tex] degrees
