Respuesta :

Answer:

The value of x is 8.

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.