LanitaI462288 LanitaI462288
  • 25-10-2022
  • Mathematics
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in the diagram point am is the center of the circle what is m< PON ?

in the diagram point am is the center of the circle what is mlt PON class=

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RaelinnR615619 RaelinnR615619
  • 25-10-2022

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:

[tex]2(\angle PON)=\angle PMN[/tex]

Solving for angle PON,

[tex]\begin{gathered} 2(\angle PON)=\angle PMN \\ \rightarrow\angle PON=\frac{\angle PMN}{2} \\ \rightarrow\angle PON=\frac{134}{2} \\ \\ \Rightarrow\angle PON=67 \end{gathered}[/tex]

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

B. 67°

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