376,555 views
9 votes
9 votes
There 2 parts to the question ​

There 2 parts to the question ​-example-1
User Nixuz
by
2.3k points

1 Answer

15 votes
15 votes

Answer:

a) ∠PNQ=40°

b) ∠POQ=80°

Step-by-step 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=
(1)/(2)QP or ∠PNQ=
(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°.

User Philipk
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.