In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)

, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)

, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)

. What is the value of x?x?