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: (c) y = x and ΔABC ~ ΔFED

Step-by-step explanation:

If sin (y) = cos (x), then they are congruent angles. Thus, y = x

y = x   ⇒   ∠A ≡ ∠ D

90° = 90° ⇒ ∠B ≡ ∠E

So, we can say that ΔABC ~ ΔDEF by the Angle-Angle (AA) Similarity Theorem.

Answer 2

Answer:

w=x and ABC ~FED

Step-by-step explanation: