Question

In the diagram, identify
.
(1 point)
∠LNM
a central angle
an inscribed angle
a circumscribed angle
an exterior angle

Answer 1

I can’t see the diagram you mean. Could you upload it or describe where points L, N, and M lie (is N at the center of the circle, on the circle, or outside it; are NL and NM chords, tangents, or secants)?

Quick rules to identify the type:
- Central angle: vertex at the center of the circle (N is the center).
- Inscribed angle: vertex on the circle and its sides are chords (N lies on the circle).
- Exterior angle: vertex outside the circle (N is outside); this includes angles formed by two secants, a secant and a tangent, or two tangents.
- Circumscribed angle: usually used for an angle formed by two tangents with vertex outside the circle (so it is a kind of exterior angle).

If you tell me where N is (center / on the circle / outside) I’ll pick the correct option.