In the adjacent figure, lines AC and BD intersect at point P. If angle \(\angle APB = 34^\circ\), find the measures of angles \(\angle APD\) and \(\angle BPC\).

A. \(\text{m}\angle APD = 34^\circ\), \(\text{m}\angle BPC = 34^\circ\)

B. \(\text{m}\angle APD = 68^\circ\), \(\text{m}\angle BPC = 68^\circ\)

C. \(\text{m}\angle APD = 90^\circ\), \(\text{m}\angle BPC = 90^\circ\)

D. \(\text{m}\angle APD = 180^\circ\), \(\text{m}\angle BPC = 0^\circ\)