what are the values of x and y in the triangle

Answer:
x and y are 4
Step-by-step explanation:
this is an isosceles triangle (two angles have the same measure, 45 degrees, and both legs have the same length)
the ratio of 45-45-90° triangles is the legs are 1 and the hypotenuse is [tex]\sqrt{2}[/tex]
so if the hypotenuse is 4[tex]\sqrt{2}[/tex] then each leg is 4