laurentalarzyk laurentalarzyk

20-04-2021
Mathematics

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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?

Respuesta :

reeserl reeserl

20-04-2021

Answer:

m∠JKL = 120°

Step-by-step 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

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