Question

In the diagram, ∠LOM
is

Option #1: an inscribed angle.

Option #2: a central angle.

Option #3: a circumscribed angle.

Option #4: an exterior angle.

(1 point)
The correct answer is Option #
.

Answer 1

To determine the type of angle ∠LOM, we need to understand the definitions:

1. **Inscribed Angle**: An angle formed by two chords in a circle which has its vertex on the circle.
2. **Central Angle**: An angle whose vertex is at the center of the circle and whose sides are radii that extend to the circle.
3. **Circumscribed Angle**: An angle formed outside of a circle by two tangents or secants.
4. **Exterior Angle**: An angle located outside of a geometric figure, often formed by extending one of the sides of the figure.

Without the diagram, I can't provide a specific answer, but typically:

- If ∠LOM has its vertex at the center of the circle, it's a **central angle** (Option #2).
- If it has its vertex on the circle with its sides formed by chords, it's an **inscribed angle** (Option #1).
- If it involves tangents outside of the circle, it would be classified as a **circumscribed angle** (Option #3) or an **exterior angle** (Option #4).

Based on these definitions, please select the correct classification that fits your diagram. If you believe ∠LOM is at the center of the circle, the answer would be Option #2. If the diagram shows otherwise, use the appropriate description above.