Answer: [tex]\angle B=79^{\circ}.[/tex]
Step-by-step explanation:
When two lines cross each other , then the opposite angles are known as vertical angles.
Vertical angles are equal.
Here, ∠A and ∠B are vertical angles.
So, ∠A = ∠B
If [tex]\angle A=(6x-11)^{\circ}[/tex] and [tex]\angle B=(5x+4)^{\circ}[/tex]
Then , [tex]6x-11=5x+4[/tex]
Subtract 5x from both sides, we get
[tex]x-11=4[/tex]
Add 11 on both sides, we get
[tex]x=15[/tex]
Now , [tex]\angle B=(5(15)+4)^{\circ}=79^{\circ}[/tex]
Hence, the measure of [tex]\angle B=79^{\circ}.[/tex]
