Question

If m angle PRO = 23, find the m angle POR

Answer 1

Given:

$\angle PRO=23$

Any tengent make the angle with the circle radius is 90 degree.

That mean:

$\angle OPR=90$

Sum of all angle of triangle is 180 degree.

$\begin{gathered} \angle POR+\angle PRO+\angle OPR=180 \\ \angle POR+23+90=180 \\ \angle POR=180-(90+23) \\ \angle POR=180-113 \\ \angle POR=67 \end{gathered}$