Vertical Angles and Linear Pairs: Interactive Geometry Demonstration

This GeoGebra example demonstrates the fundamental angle relationships formed when two lines intersect: vertical angles are congruent, and linear pairs (adjacent supplementary angles) sum to 180 degrees. The construction uses the Segment command to draw two intersecting lines, Intersect to find their common point, Angle to label the four angles (α, β, γ, δ), and AngularBisector to optionally visualize angle bisectors. Multiple text objects (text1 through text10) dynamically display angle measures, reinforcing the concepts. Suitable for middle school or high school geometry classes, this interactive tool helps students verify the vertical angle theorem and linear pair postulate through hands-on exploration, making it ideal for classroom demonstrations or self-paced learning.