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Triangle ABC is inscribed in a circle, and CT is the tangent at C drawn on the side of B. If ∠BCT = 64° and ∠ABC = 70°, find ∠ACB.

Competition practiceGeometry
  • A46°
  • B64°
  • C54°
  • D26°

Step-by-Step Solution

By the alternate segment theorem, ∠BAC = ∠BCT = 64°. Then ∠ACB = .
Answer: A) 46°

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