Answer:
x = 34
Step-by-step explanation:
ΔABD and ΔBCD are both isosceles triangles
In ΔABD
AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )
∠ABD = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
∠DBC = 180° - 68° = 112° ( straight angle )
∠BCD = x = [tex]\frac{180-112}{2}[/tex] = [tex]\frac{68}{2}[/tex] = 34
