Question

∠A and \angle B∠B are vertical angles. If m\angle A=(6x-11)^{\circ}∠A=(6x−11) ∘ and m\angle B=(5x+4)^{\circ}∠B=(5x+4) ∘ , then find the measure of \angle B∠B.

Answer 1

Answer: $\angle B=79^{\circ}.$

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 $\angle A=(6x-11)^{\circ}$ and $\angle B=(5x+4)^{\circ}$

Then , $6x-11=5x+4$

Subtract 5x from both sides, we get

$x-11=4$

Add 11 on both sides, we get

$x=15$

Now , $\angle B=(5(15)+4)^{\circ}=79^{\circ}$

Hence, the measure of $\angle B=79^{\circ}.$