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?