Intersecting Chords Angle Theorem in a Circle

This GeoGebra example demonstrates the measure relationship between the angle formed by two intersecting chords inside a circle and the arcs intercepted by that angle. It covers core concepts such as circles, chords, intersection points, arcs, central angles, and the intersecting chords angle theorem, which states that the angle equals half the sum of the measures of the intercepted arcs. The construction uses Circle and Point to create the circle and points on it, Segment to draw the chords, Intersect to locate their crossing point, and Angle and CircleArc to mark the relevant angles and arcs, with text objects displaying the theorem. It is suitable for middle-school geometry, introductory high-school circle geometry, and GeoGebra-based dynamic demonstrations or inquiry lessons.