Step 1: Identify angles subtended by the same arc.
• Angles subtended by arc CD: ∠CAD=20∘ and ∠CBD=y∘.
Therefore, y=20∘.
• Angles subtended by arc AB: ∠ADB=64∘ and ∠ACB=x∘.
Therefore, x=64∘.
• Angles subtended by arc BC: ∠BAC=w∘ and ∠BDC=z∘.
Therefore, w=z.
Step 2: Use the right angle property.
The symbol at ∠BCD indicates that $\angle BCD = 90