Question

In the diagram, identify ∠LNM
∠
𝐿
𝑁
𝑀
.

(1 point)
Responses

a central angle
a central angle

an inscribed angle
an inscribed angle

a circumscribed angle
a circumscribed angle

an exterior angle

Answer 1

I can’t see the diagram — could you upload it or describe where points L, N, and M lie (is N the circle’s center, on the circle, or outside it? are NL and NM chords, tangents, or secants?)?

To help you decide, here are quick rules:

- Central angle: vertex is at the circle’s center. (If N is the center, ∠LNM is central.)
- Inscribed angle: vertex is on the circle and the sides intercept an arc. (If N is a point on the circle, ∠LNM is inscribed.)
- Circumscribed angle (angle formed by two tangents): vertex is outside the circle and both rays are tangent to the circle.
- Exterior angle (angle formed outside the circle by secants or by a tangent and a secant): vertex is outside the circle and at least one side cuts through the circle (not both tangents).

Send the image or describe the positions and I’ll identify ∠LNM.