Question

∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then find the measure of \angle B∠B.

Answer 1

Answer:

∠B = 52°.

Step-by-step explanation:

Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.

Since ∠A and ∠B are vertical angles. So, there measure are equal.

$m\angle A=m\angle B$

$(8x-4)^{\circ}=(7x+3)^{\circ}$

$8x-4=7x+3$

$8x-7x=4+3$

$x=7$

Now,

$m\angle B=(7(7)+3)^{\circ}$

$m\angle B=(49+3)^{\circ}$

$m\angle B=52^{\circ}$

Therefore, the measure of ∠B is 52°.