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TA is the tangent at A to a circle, AB is a chord with ∠TAB = 50°, and C is a point on the major arc AB with CA = CB. Find ∠CAB.

Competition practiceGeometry
  • A65°
  • B50°
  • C80°
  • D40°

Step-by-Step Solution

By the alternate segment theorem ∠ = ∠TAB = 50°. Triangle is isosceles with , so .
Answer: A) 65°

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