2012 Cayley Problem 19

In the star shown, the sum of the four integers along each straight line is to be the same. Five numbers have been entered. The five missing numbers are 19, 21, 23, 25, and 27. Which number is represented by q?

\textbf{(A)}\ 25\quad \textbf{(B)}\ 21\quad \textbf{(C)}\ 23\quad \textbf{(D)}\ 27\quad \textbf{(E)}\ 19

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.