Answer:
Step-by-step explanation:
We know that [tex]m\angle 6 = m \angle 8[/tex]
Each angle is defined as
[tex]m\angle 6 = 3x-13[/tex] and [tex]m \angle 8 =2x-5[/tex]
Replacing all in the first equation, we have
[tex]3x-13=2x-5\\3x-2x=13-5\\x=8[/tex]
Therefore, the value of x is 8.