TP is a line that tangent to a circle centered at O. If PQ∥TO and ∠OTP=25∘, find the measure of ∠POQ in degrees.
+26367 TP is a line that tangent to a circle centered at \(O\).
If \(PQ\parallel TO\) and \(\angle OTP=25^\circ\), find the measure of \(\angle POQ\) in degrees.
\(\begin{array}{|rcll|} \hline \hline \mathbf{65^\circ} &=& \mathbf{90^\circ-\dfrac{x}{2}} \\\\ \dfrac{x}{2} &=& 90^\circ-65^\circ \\\\ \dfrac{x}{2} &=& 25^\circ \\\\ \mathbf{x} &=& \mathbf{50^\circ} \\ \end{array}\)
