In triangle $\bigtriangleup ABC, \angle A = 70^{\circ}$ and $\angle C = 80^{\circ}$ . If point D is on line $AC$ such that $BD$ bisects $\angle B$. Find angle $\angle{BDA}.$

Question

$( A ) 75^{\circ} \\( B ) 5^{\circ} \\ ( C ) 105^{\circ} \\ ( D ) 95^{\circ}$