Okay, let's solve this step-by-step:
* Points J, K, L, M have polar coordinates:
J (6, 130°)
K (6, 160°)
L (6, 200°)
M (6, 250°)
* To find the angle between two points, we subtract their theta values (polar angle coordinates).
* Angle KJM = 160° - 130° = 30°
* Angle KLM = 250° - 200° = 50°
* Sum of angles KJM and KLM = 30° + 50° = 80°
* Since the sum of angles in any triangle is 180°, and we have 80°, the remaining angle must be 180° - 80° = 100°.
* Therefore, the sum of angles KJM and KLM is 180°.
Does this make sense? Let me know if you have any other questions!