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I need help on in the answer to this question

I need help on in the answer to this question-example-1
User Yuankun
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Using the 2 tangents line formula:


m\angle Q=(1)/(2)((360-mPR)-mPR)


\begin{gathered} 81x-1=(1)/(2)(360-2(100x)) \\ 81x-1=(1)/(2)(360-200x) \\ 81x-1=180-100x \\ \end{gathered}

Solve for x:


\begin{gathered} 81x+100x=1+180 \\ 181x=181 \\ x=(181)/(181) \\ x=1 \end{gathered}

Therefore:


\begin{gathered} mPR=100(1)_{} \\ mPR=100 \end{gathered}

Answer:

A. 100

User Naman Kashyap
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7.7k points

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