If the angle between two radii of a circle is 100°, then the angle between the tangents at the ends of the radii will be:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 80°.
∠BCO = ∠ BAO = 90° (Tangent on circle)
∠AOC = 100°
∠BCO + ∠ BAO + ∠AOC + ∠ABC = 360°
⇒ 90° + 90° + 100° + ∠ABC = 360°
⇒ ∠ABC = 360° - 280°
⇒ ∠ABC = 80°