Question

There 2 parts to the question ​

Answer 1

Answer:

a) ∠PNQ=40°

b) ∠POQ=80°

Explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half of the intercepted arc length. From that information, we can determine the angle of PNQ with ∠PNQ=$\frac{1}{2}$QP or ∠PNQ=$\frac{1}{2}$(80). Multiply those two to get 40. Because the central angle is equal to the measure of its intercepted arc length. So, we know that ∠POQ is 80°.