Answer: \(\angle R = 92^\circ\), \(\angle N = 88^\circ\)
In □MRPN, \(\angle R\) and \(\angle N\) are opposite angles. Opposite angles of a cyclic quadrilateral are supplementary:
\[(5x - 13) + (4x + 4) = 180\] \[9x - 9 = 180,\quad x = 21\] \[\angle R = 5(21) - 13 = 92^\circ\] \[\angle N = 4(21) + 4 = 88^\circ\]