Answer:

b) ∠H
c) ∠E
Explanation:
I find it easiest to do these problems if I write one polygon on top of the other. That way I can easily see the angles and sides that match.
B C D E
F G H I
a) BC matches to FG and FI matches to BE
The proportion is:

*****************************************************************************************
b) What matches with ∠D? Look at the letter below to see that it is ∠H
******************************************************************************************
c) What matches with ∠I? Look at the letter above to see that it is ∠E