Answer:
[tex] m\angle N = 32\degree [/tex]
[tex] m\widehat {NQ}=106\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle N = \frac{1}{2} \times m\widehat {MP} [/tex]
[tex] m\angle N = \frac{1}{2} \times 64\degree [/tex]
[tex] m\angle N = 32\degree [/tex]
Again by inscribed angle theorem:
[tex] m\angle P= \frac{1}{2} \times m\widehat {NQ} [/tex]
[tex] 53\degree = \frac{1}{2} \times m\widehat {NQ} [/tex]
[tex] 2\times 53\degree = m\widehat {NQ} [/tex]
[tex] m\widehat {NQ}=106\degree [/tex]
