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).`

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).`