How do I get to the answer of this question?

ANSWER:
45°
STEP-BY-STEP EXPLANATION:
Since it is an isosceles triangle, it also has the two equal angles, therefore [tex]\begin{gathered} 180=50+50+\text{BDC} \\ \text{BDC =}180-50-50 \\ \text{BDC = 80\degree} \end{gathered}[/tex]We can calculate the angle [tex]\begin{gathered} 180=100+\text{ABD} \\ \text{ABD =180 - 8}0 \\ \text{ABD = 100\degree} \end{gathered}[/tex]Now, we calculate the value of [tex]\begin{gathered} 180=100+35+