Question

Triangle ABC is similar to triangle WYZ. select all angles whose tangent equals 3/4

Answer 1

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

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

substitute the values

$tan(B)=\frac{3}{4}$

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

$tan(B)=tan(Y)$