No explanation (Question:555555.0)

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Nav sharma

· started a discussion

· 1 Months ago

No explanation (Question:555555.0)

Why angleQOR =1/2(AngleAOC)

Question:

In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45^o, then what is the value (in degrees) of ∠QOR?

Options:

67.5

78 .5

Solution:

$\begin{matrix} ∠ A O C ° = 180 ° - 45 ° = 135 ° \\ ∠ Q O R = \frac{∠ A O C}{2} = \frac{135 °}{2} = 67.5 ° \end{matrix}$

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