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**Summary of Angle Relationships in a Circle**

1. **Central Angle**:
- The angle formed by two radii with its vertex at the center of the circle.
- Measure of the central angle is equal to the measure of its intercepted arc.

2. **Inscribed Angle**:
- The angle formed by two chords in a circle with the vertex on the circle.
- Measure of the inscribed angle is half the measure of its intercepted arc.

3. **Angle Formed by a Tangent and a Chord**:
- The angle formed where a tangent and a chord meet at a point on the circle.
- Measure of this angle is half the measure of the intercepted arc.

4. **Angle Formed by Two Chords (Interior)**:
- When two chords intersect inside a circle, four angles are formed.
- The measure of an angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

5. **Angle Formed by Two Secants, a Secant and a Tangent, or Two Tangents (Exterior)**:
- The measure of an angle formed outside the circle by these lines is half the difference of the measures of the intercepted arcs.

Answer :

The summary of Angle Relationships in a Circle is given.

The following is an overview of angle relationships in a circle:

The vertex of a central angle is the center of the circle. A central angle's length equals the length of the arc it crosses.

Inscribed angle: An angle with a circle as its vertex and sides that intersect two separate arcs. An inscribed angle has half the length of the arc it intersects.

Tangent-chord angle: A tangent-chord angle is generated when a tangent and a chord cross at the point of tangency. The length of this angle is half the length of the intercepted arc.

To learn more about the intersecting chord theorem:

https://brainly.com/question/15298662

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