Answer:
∠B = 79
Explanation:
Vertical angles are congruent ( equal to each other )
This means that ∠A = ∠B
If ∠A = 6x - 11 and ∠B = 5x + 4 then 6x - 11 = 5x + 4
Now solve for x
6x - 11 = 5x + 4
add 11 to both sides
6x = 5x + 15
subtract 5x from both sides
x = 15
We want to find the measure of ∠B
To do so we simply plug in the value of x into 5x + 4
∠B = 5x + 4
x = 15
∠B = 5(15) + 4
Multiply 5 and 15
∠B = 75 + 4
add 75 and 4
∠B = 79
And we are done!