please help me with this, corresponding parts

Answer:
∠ C = 58°
Step-by-step explanation:
DB is a perpendicular bisector , so
∠ ADC = 2 × 32° = 64°
Since AD = CD then Δ ACD is isosceles with the base angle congruent , then
∠ C = [tex]\frac{180-64}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58°