Use the drawing below to answer the questions below. Assume the figure is drawn to scale.

1. Identify three types of triangles in the drawing.

   Help (a):

   The three triangles are highlighted:

   More Help (a):

   Triangle $ABD$ has two sides of equal length.
   Notice the size of the angles of the other two triangles.
   

   Answer (a):

   Triangle $ABD$ is an isosceles triangle, triangle $ABC$ is acute, and triangle $BCD$ is obtuse.

2. What do you know about the angles labeled $x$ and $y$?

   Hint (b):

   If two angles are supplementary, what is their sum?