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AB is a chord of the circle and AOC is its diameter such that angle ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to
  • a)
     65°
  • b)
     60°
  • c)
    50°
  • d)
    40°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
AB is a chord of the circle and AOC is its diameter such that angle AC...
Answer: (c) 50°

 
∠ABC = 90° (angle in Semicircle is right angle)
In ∆ACB
∠A + ∠B + ∠C = 180°
∠A = 180° – (90° + 50°)
∠A = 40°
Or ∠OAB = 40°
Therefore, ∠BAT = 90° – 40° = 50°
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