Question

The measure of minor arc JL is 60°.

Circle M is shown. Line segments M J and M L are radii. Tangents J K and L K intersect at point K outside of the circle. Arc J L is 60 degrees.

What is the measure of angle JKL?

Answer 1

m∠JKL = 120°

Explanation:

The measure of an angle formed by a two tangents drawn from a point outside the circle is the the difference of the intercepted arcs

minor arc JL = 60 major arc JL = 360 - 60 = 300

m∠JKL = 1/2(300 - 60) = 1/2(240) = 120