Question

If sin(y°) = cos(x°), which of the following statements is true? triangles BAC and EFD in which angles B and E are right angles, the measure of angle F is w degrees, the measure of angle D is y degrees, the measure of angle A is x degrees, and the measure of angle C is z degrees y = x and ΔABC ≅ ΔFED w = x and ΔABC ≅ ΔFED y = x and ΔABC ~ ΔFED w = x and ΔABC ~ ΔFED

Answer 1

Answer:

w = x and ΔABC ~ ΔFED  

Step-by-step explanation:

In the picture attached, the question is shown.

From definition:

sin(y°) = opposite/hypotenuse

sin(y°) = EF/DF

From definition:

cos(x°) = adjacent/hypotenuse

cos(x°) = AB/C

But sin(y°) = cos(x°), then:

EF/DF = AB/C

wich means that the triangles are similar. Therefore:

∠x = ∠w

∠z = ∠y