Question

If the angle between 2 radii of a circle is 140°, then the angle between the tangents at the ends of the radii is?

Answer 1

as it will be the quadrilateral....(two radii, two tangents).

interior angle sum of a quadrilateral = 360 degrees.

and....two of thos angles will be right angles, as the radius is perpendicukar to the tangent at the point of contact.

thus, sum of remaining two angles= 360-(90+90)= 180.

thus the angle between the two radii is supplymentary to the angle between the two tangents.

thus , required angle is:-

180 - 140

= 40 degrees