Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
