Answer:
220°
Step-by-step explanation:
[tex]\angle PQM [/tex] is inscribed in the [tex]\widehat{PQM}[/tex] and [tex]\widehat{PNM}[/tex] is intercepted by it.
Therefore, by inscribed angle theorem:
[tex]m\angle PQM =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree \times 2= m\widehat{(PNM)}[/tex]
[tex]\implies m\widehat{(PNM)}= 220\degree [/tex]
