Intercepted Arcs and Angle Between Intersecting Secants

This GeoGebra example demonstrates the relationship between the arcs intercepted by two secants intersecting outside a circle and the angle formed by those secants. Core mathematical concepts include circle geometry, secant lines, intercepted arcs, inscribed angles, central angles, and the intersecting secants angle theorem, which states that the angle measure equals half the difference of the intercepted arc measures. The construction uses GeoGebra commands Point, Segment, Circle, Line, Intersect, CircleArc, and Angle to create objects such as center O, circle c, secant lines f and g, intersection points E, F, G, H, intercepted arcs, and angle labels α, β, γ. It is suitable for high school geometry instruction, circle theorem exploration, and dynamic geometric construction practice.