Mathematics

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

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
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)