Respuesta :

Answer:

m<N = 32°

Arc NQ = 106°

Step-by-step explanation:

✔️Find m<N:

Inscribed angles theorem, we would have;

m<N = ½(arc MP)

arc MP = 64°

Substitute

m<N = ½(64°)

m<N = 32°

✔️Find measure of arc NQ:

m<P = ½(arc NQ) => inscribed angle theorem

53° = ½(arc NQ)

Multiply both sides by 2

2*53° = arc NQ

106° = arc NQ

Arc NQ = 106°

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