Respuesta :
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

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