Question

Find each indicated measure.
Find m

Answer 1

m<N = 32°

Arc NQ = 106°

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°