Question

In a circle if the angle between two radii is 120⁰. Then find the angle of inclination between the pair of tangents drawn to circle.​

Answer 1

tangent is perpendicular to radius of circle at point of contact.

So if we join tangent's point of contact with radius

and the external point from which we drew both tangent's.

We get a quadrilateral

Using angle sum property in quadrilateral

90+90+120+x = 360

300+x = 360

x = 60

Answer 2

Answer:

Refer to both the attachments for the answer..