Question

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

Answer 1

Answer:

$m\angle N = 32\degree$

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

Step-by-step explanation:

By inscribed angle theorem:

$m\angle N = \frac{1}{2} \times m\widehat {MP}$

$m\angle N = \frac{1}{2} \times 64\degree$

$m\angle N = 32\degree$

Again by inscribed angle theorem:

$m\angle P= \frac{1}{2} \times m\widehat {NQ}$

$53\degree = \frac{1}{2} \times m\widehat {NQ}$

$2\times 53\degree = m\widehat {NQ}$

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