Answer:
[tex]x = 31[/tex]
Step-by-step explanation:
Recall that vertical angles are congruent. In other words:
[tex]\displaystyle \angle A \cong \angle B[/tex]
Hence:
[tex]\displaystyle m\angle A = m\angle B[/tex]
Substitute:
[tex]\displaystyle \left(5x + 6\right) = \left(6x - 25\right)[/tex]
Solve for x. Subtract 5x from both sides:
[tex]\displaystyle 6 = x - 25[/tex]
And add 25 to both sides:
[tex]x = 31[/tex]
In conclusion:
[tex]x = 31[/tex]
