Question

I need help on in the answer to this question

Answer 1

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