Math Homework. Do It Faster, Learn It Better.
Angles of Intersecting Chords Theorem
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
In the circle, the two chords and intersect inside the circle.
and
Since vertical angles are congruent, and .
Example:
In the circle shown, if and , then find .Substitute.
Therefore, .