To determine the nature of ∠LNM, we need to consider the placement of points L, N, and M in relation to a circle, if applicable.
- If the angle is formed by two chords that meet at point N on the circumference of the circle, then it is an inscribed angle.
- If the angle is formed by two tangents or a tangent and a chord where the endpoint is outside the circle, it would be defined as an exterior angle.
- A circumscribed angle usually refers to angles formed by a line that intersects the circle at two points.
- A central angle is formed by two radii extending from the center of the circle to the edge.
Without a visual reference or additional context, if ∠LNM is created by lines that connect points on the circle (with point N being on the circumference), then the answer would most likely be:
an inscribed angle
If you can provide more details about the arrangement of the points, I could offer a more definitive answer.