Question

In the diagram, identify ∠LNM
.

(1 point)
Responses

a circumscribed angle
a circumscribed angle

a central angle
a central angle

an inscribed angle
an inscribed angle

an exterior angle

Answer 1

To identify ∠LNM, we need to know its position relative to the circle and the points L, N, and M. Based on typical geometric definitions:

- A **circumscribed angle** is formed by two chords that intersect outside the circle.
- A **central angle** has its vertex at the center of the circle and its sides as radii.
- An **inscribed angle** has its vertex on the circle itself and its sides are formed by chords of the circle.
- An **exterior angle** is formed when a line or segment extends outside of a polygon or circle.

If ∠LNM has its vertex at point N (which lies on the circle) and points L and M also lie on the circle, then it is an **inscribed angle**. If N is outside the circle and L and M are points on the circle, it would be a **circumscribed angle**.

Without the diagram, I can't definitively choose the correct response, but you should look at the position of point N in relation to the circle and the points L and M to apply these definitions.