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elena-14-01-66 [18.8K]
3 years ago
9

There 2 parts to the question ​

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

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°.

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