Question

If the angle between two radii of a circle at the centre is 100°. What is the angle between the tangents made at the ends of radii? * can you show the diagram​

Answer 1

Here, two radii and corresponding tangents at the ends of those radii form a quadrilateral.

As we know, tangents are at right angle to radius, remaining two angles are complementary.

x + 100 = 180

x = 180 - 100

x = 80°

Hence, angle between the tangents at the ends of those radii is 80°.