2 years ago

PLEASE I NEED HELP!! NO LINKS!!

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

5 0

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

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

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

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