A convex pentagon has three right angles. The other two angles are congruent to each other. What is the measure, in degrees, of one of these other angles?
The sum of the interior angles of an $n$-gon measures $180^\circ(n-2)$.  The five angles of a pentagon sum to 540 degrees, so if a pentagon has three right angles and two other angles each of which measures $x$ degrees, then  \[
3\cdot90+2x=540.
\] Solving, we find $x=\boxed{135}$ degrees.