Multiple choice

If angle between two radii of a circle is 130o the angle between the tangents at the ends of the radii is -

  1. 90o

  2. 70o

  3. 50o

  4. 40o

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Angle between two radii = 130°. Tangent is perpendicular to radius at point of contact, so angle between radius and tangent at each end = 90°. Quadrilateral formed by two radii and two tangents has sum of angles = 360°. Angle between tangents = 360° - 90° - 90° - 130° = 50°. Option C is correct.