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if sin(y°) = cos(x°), which of the following statements is true?

a. y=w and abc ~ cde
b. y=x and abc ~cde
c. y=w and abc =~ cde
d. y=x and abc =~ cde

A i did it on my test :)

From the information, we know that:

sin(y°) = cos(x°)

We also have:

cos(x°) = sin(w°)

Therefore:

sin(y°) = sin(w°)

=> y = w

At this point we can already eliminate option b and d.

Finally, we know that:

∠CAB = ∠ECD (y = w)

∠ABC = ∠CDE ( = 90°)

=> ABC ~ CDE

The correct answer is A

the answer should be a. snail