Answer
Angle JLK = 31°
Explanation
To answer this, we will use the tangent-chord theorem.
So, the intercepted arc JNL has an angle 298°
Then, we can solve for the tangent chord angle next to it, Angle JLM first by saying
Angle JLM = (Intercepted arc JNL)/2
Angle JLM = (298°/2)
Angle JLM = 149°
Then, we can see that Angle JLM and Angle JLK lie on the same straight line, KLM.
Sum of angles on a straight line is 180°.
Angle JLK + Angle JLM = 180°
Angle JLK + 149° = 180°
Angle JLK = 180° - 149°
Angle JLK = 31°
Hope this Helps!!!
