$$ABC$$ is an isosceles triangle such that $$AB = AC$$, $$\angle ABC = 55^{\circ}$$, and AD is the median to the base $$BC$$. Find the measure of $$\angle BAD$$.

A

$$50^{\circ}$$

B

$$55^{\circ}$$

C

$$35^{\circ}$$

D

$$90^{\circ}$$