intersecting chords - angles

Given a pair of intersecting chords, how are the angles of intersection related to intercepted arcs? Use the following applet to test your conjectures.

1. State your conjecture relating the angles of intersection to the intercepted arcs. 2. Provide two example measures for which your conjecture holds true. 3. How did you use Geogebra to determine if this relationship seems always be true? 4. Using known properties in Geometry, explain why this relationship is always true.