Answer:
8 - [tex]8\sqrt{3}[/tex]
Step-by-step explanation:
For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.
For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is [tex]8\sqrt{3[/tex]. Since this really can't be simplified after y is subtracted from x, the final answer is just 8 - [tex]8\sqrt{3}[/tex].
