2011 AMC 10B Problem 7

The sum of two angles of a triangle is 6/5 of a right angle, and one of these two angles is 30^{\circ} larger than the other. What is the degree measure of the largest angle in the triangle?

\textbf{(A)}\ 69 \qquad\textbf{(B)}\ 72 \qquad\textbf{(C)}\ 90 \qquad\textbf{(D)}\ 102 \qquad\textbf{(E)}\ 108

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.