A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of $2\mathrm{.}4$x$105$ m$/$s and makes a glancing cullision with the second proton. After the collision, one proton moves off at an angle of $53\backslash$deg to the original direction of motion and the second deflects at an angle of $ to the same axis. Find the final speeds of the two protons and the angle $.$