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In the diagram above, ATR is a tangent at the point T to the circle center...

Mathematics
WAEC 1991

In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145°, find ∠TAO

  • A. 20o
  • B. 35o
  • C. 45o
  • D. 55o
  • E. 65o
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Correct Answer: Option D
Explanation

From the figure, < ATO = 90°

< AOT = 180° - 145° = 35°

\(\therefore\) < TAO = 180° - (90° + 35°)

= 55° (sum of angle in a triangle)


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