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

a circumscribed angle
a circumscribed angle

a central angle
a central angle

an inscribed angle
an inscribed angle

an exterior angle

Answer 1

To determine the nature of the angle ∠LNM, we need to analyze its position in relation to the circle and the points defined.

In the case presented:

• Point O is the center of the circle.
• Points L, N, and M lie on the circumference of the circle.

Since point N is on the circumference and ∠LNM is formed by two points (L and M) on the circle, this angle will be considered an inscribed angle. An inscribed angle is defined as an angle formed by two chords in a circle which have a common endpoint.

Therefore, the answer is:

an inscribed angle.