Examine the diagram at right.  

1. Write an equation using the geometric relationships in the diagram. Then solve your equation for $x$.

   Hint (a):

   Use the Pythagorean Theorem.

   Solution (a):

   $\begin{array}{l} x^2+8^2=(x+2)^2 \\ x^2+64=x^2+4x+4 \\ 60=4x \\ x=15 \end{array}$

2. Find the measures of the acute angles of the triangle. What tool(s) did you use?

   Hint (b):

   What trig ratio can you use to find one of the angles?
   Once you have two angles, what relationship can you use to find the last angle?

   Answer (b):

   $28.1°$, $61.9°$