Question

I need help on in the answer to this question

Answer 1

Using the 2 tangents line formula:

$m\angle Q=\frac{1}{2}((360-mPR)-mPR)$

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

Solve for x:

$\begin{gathered} 81x+100x=1+180 \\ 181x=181 \\ x=\frac{181}{181} \\ x=1 \end{gathered}$

Therefore:

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

Answer:

A. 100