Question

In the diagram point am is the center of the circle what is m< PON ?

Answer 1

Remember that the angle of an arc substended at the center is twice the angle substended at the circumference.

Using this, we can say that:

`2(\angle PON)=\angle PMN`

Solving for angle PON,

`\begin{gathered} 2(\angle PON)=\angle PMN \\ \rightarrow\angle PON=(\angle PMN)/(2) \\ \rightarrow\angle PON=(134)/(2) \\ \\ \Rightarrow\angle PON=67 \end{gathered}`

This way, we can conclude that the correct answer is:

B. 67°