Question

When segments intersect inside a circle, what is the relationship between the angle of intersection and the intercepted arcs?

Answer 1

They are supplementary angles because they both would have to add up to 180

Answer 2

Answer:

Angle of intersection is one half of the sum of measurements of intercepted arcs.

Step-by-step explanation:

An inscribed angle is the angle formed by the intersection of two chords having a common endpoint in a circle.

Also, by the angles of Intersecting Chords Theorem,

When two chords intersect inside a circle, then the measure of the angle formed is one half of sum of the measure of the arcs intercepted by the angle and its vertical angle.

Which is the relationship between the angle of intersection and the intercepted arcs.