In the given figure, you can observe that plane R and plane Q are perpendicular. So, neither of lines inside the plane R can be parallel to line c, because it's placed in a perpendicular plane.
This means that they only line that can be parallel to line c, it's actually line d, because it's in the same plane, and the figure shows that they have the same direction, which allow us to deduct that they are parallel.
Line A could not be parallel to line C and neither cold line B because they would cross at some point. Line D is parallel because it would not cross line C at any point. Plane Q oculd not be parallel to line C because it is a plane and it is perpendicular to line C.
