Use the Pythagorean Theorem and the diagrams below to answer the following questions. 

1. The square at right has sides of length $n$. What is the length of the diagonal in terms of $n$? Use exact values.

   Hint (a):

   Use the Pythagorean Theorem.
   $n² + n² = d²$
   Solve for $d$.

2. What is the measure of the angle labeled $x$?

   Hint (b):

   What do you know about the interior angles of squares?

3. The triangle at right is equilateral with each with sides of length $2n$. What is the height $(k)$ in terms of $n$? Use exact values.

   Hint (c):

   The base is made into two equal parts by $k$
   Use the Pythagorean Theorem to write an equation and solve for k.

4. What is the measure of the angle labeled $y$?

   Hint (d):

   What do you know about the interior angles of an equilateral triangle?