The true statement is [tex]m\angle PKQ=\frac{1}{2} m\angle PCQ[/tex]
The correct answer is an option (B)
What is an inscribed angle?
"It is an angle formed by two chords in a circle which have a common endpoint."
What is inscribed angle theorem?
"It states that an angle inscribed in a circle is half of the central angle that is subtends the same arc on the circle."
For given question,
The diagram shows circle C.
An angle PCQ is the central angle.
∠PKQ and ∠PNQ are inscribed angle.
Using inscribed angle theorem,
[tex]m\angle PKQ=\frac{1}{2} m\angle PCQ[/tex]
Also,
[tex]m\angle PNQ=\frac{1}{2} m\angle PCQ[/tex]
Therefore, the true statement is [tex]m\angle PKQ=\frac{1}{2} m\angle PCQ[/tex]
The correct answer is an option (B)
Learn more about the inscribed angle here:
https://brainly.com/question/15899344
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