Use the image to answer the question.

Question

A circle has center point upper O. Points upper L, upper N and upper M are plotted on the circumference of the circle.

In the diagram, identify ∠LNM
.

(1 point)
Responses

an exterior angle
an exterior angle

a central angle
a central angle

a circumscribed angle
a circumscribed angle

an inscribed angle

Answer 1

To identify \( \angle LNM \) in the diagram you described, let's analyze the points:

• \( O \) is the center of the circle.
• Points \( L \), \( N \), and \( M \) are on the circumference of the circle.

The angle \( \angle LNM \) is formed by the points \( L \) and \( M \) that lie on the circle, with \( N \) being the vertex on the circumference.

Since this angle is formed by two points on the circle ( \( L \) and \( M \) ) while the vertex is on the circle as well ( \( N \) ), this angle is classified as:

an inscribed angle.

So the correct response is:

an inscribed angle.