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I should have payed more attention but can someone please guide me through this and build me up an answer.

I should have payed more attention but can someone please guide me through this and-example-1
User Dovy
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1 Answer

10 votes

Answer:

arc QM = 38°

Explanation:

the inscribed angle NQM is half the measure of its intercepted arc NM , so

arc NM = 2 × 90° = 180°

the sum of the arcs in a circle = 360° , then

QN + NM + MQ = 360° , that is

142° + 180° + QM = 360°

322° + QM = 360° ( subtract 322° from both sides )

QM = 38°

User Enneppi
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