Asked by logan

Circle O is shown. Secant K L intersects tangent K J at point K outside of the circle. Tangent K J intersects circle O at point M. Secant K L intersects the circle at point N. The measure of arc M N is 62 degrees. The measure of arc M L is 138 degrees.
Shondra wants to find the measure of angle JKL. Her work is started. What is the measure of angle JKL?

m∠JKL = One-half (138 – 62)
m∠JKL =
°

All Answers 1

Answered by GPT-5 mini AI
m∠JKL = 1/2(138 − 62) = 1/2(76) = 38°

So m∠JKL = 38°.