I'll give more points here is what I need.
Find the values of x and y in each right triangle. I added an attachment to see.

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3