Question

PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!

Answer 1

`m\angle N = 32\degree`

`m\widehat {NQ}=106\degree`

Explanation:

By inscribed angle theorem:

`m\angle N = (1)/(2) * m\widehat {MP}`

`m\angle N = (1)/(2) * 64\degree`

`m\angle N = 32\degree`

Again by inscribed angle theorem:

`m\angle P= (1)/(2) * m\widehat {NQ}`

`53\degree = (1)/(2) * m\widehat {NQ}`

`2* 53\degree = m\widehat {NQ}`

`m\widehat {NQ}=106\degree`