Hi Andy. I'll reply to all of your posts in here. Since homework is still not due, for homework problems I'll just give you a hint. Also, the class you are enrolled in is II-A not II-B.

• 2.14: In the diagram you should have a hexagon and a pentagon that share a side ($EF$). There are two possibilities: the pentagon is inside the hexagon or the pentagon is outside the hexagon. This will give you the two possible values of $\angle GAF$ ($\alpha$ and $\beta$). To find $\angle GAF$ recall what the measure of the interior angles of a regular pentagon and hexagon are; you also want to use the fact that $\triangle GAF$ is isosceles.
• 2.17: You have a good idea there. Just be careful checking which factors work as a solution to the problem.
• 2.22: Try to look at the area of $\triangle AED$ in terms of the triangles (or portions of triangles) that were used to construct hexagon $ABCDEF$. What do you notice about this triangles? How many triangles make for the area of $\triangle $AED$?
• 2.26: Look at the sides of the quadrilaterals $PDCE$, $PFBD$, and $PEAF$. What can you say about them? (Note they should have at least a pair of equal sides and a pair of parallel sides.) Compare also with the solution of problem 2.6.
• 2.3: Here's a diagram for the problem