Respuesta :

calculista

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

[tex]tan(B)=\frac{AC}{BC}[/tex] ----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

[tex]tan(B)=\frac{3}{4}[/tex]

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

therefore

[tex]tan(B)=tan(Y)[/tex]

Base on the fact that the triangle ABC and WYZ are similar, the angles whose tangent equals 3 / 4 are ∠B and ∠Y

What are similar triangles?

Similar triangle are only different in sizes but are of the same shape.

Similar triangles, corresponding sides are always in the same ratio. Corresponding angles of similar triangles are always congruent. Therefore,

∠A = ∠W

∠B = ∠Y

∠C = ∠Z

Therefore, let's find all angles in the similar triangles whose tangent is equal to 3 / 4 .

tan ∅ = opposite / adjacent

Since,

tan B = 3 / 4

Then

tan Y = 3 / 4

Therefore,

The angles whose tangent equals 3 / 4 are ∠B and ∠Y

learn more on similar triangle here: https://brainly.com/question/11969453

Otras preguntas