To find the angle BPD we need to remember that the angle formed by two intersecting chords is given by:
[tex]\text{ Angle formed by two intersections=}\frac{1}{2}(\text{ Sum of intercepted arcs\rparen}[/tex]
The intercepted arcs are arc AC and arc BD, then we have:
[tex]\begin{gathered} m\angle BPD=\frac{1}{2}(66+146) \\ m\angle BPD=\frac{1}{2}(212) \\ m\angle BPD=106 \end{gathered}[/tex]
Therefore, angle BPD is 106° and the answer is option C.
