Sides AB and AC of $$\triangle$$ ABC are produced to points D and E, respectively. The bisectors of $$\angle$$ CBD and $$\angle$$ BCE meet at P.
If $$\angle A = 78^{\circ}$$, then the measure of $$\angle$$P is:

A

$$51^{\circ}$$

B

$$61^{\circ}$$

C

$$55^{\circ}$$

D

$$56^{\circ}$$