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Find angle w , x, y and z

Mathematics

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Step-by-step solution

2 steps
  1. Identify angles subtended by the same arc.

    • Angles subtended by arc CD: ∠CAD=20∘\angle CAD = 20^\circ and ∠CBD=y∘\angle CBD = y^\circ. Therefore, y=20∘y = 20^\circ.
    • Angles subtended by arc AB: ∠ADB=64∘\angle ADB = 64^\circ and ∠ACB=x∘\angle ACB = x^\circ. Therefore, x=64∘x = 64^\circ.
    • Angles subtended by arc BC: ∠BAC=w∘\angle BAC = w^\circ and ∠BDC=z∘\angle BDC = z^\circ. Therefore, w=zw = z.
  2. Use the right angle property.

    The symbol at ∠BCD\angle BCD indicates that $\angle BCD = 90

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