Students explore key angle relationships and theorems, such as corresponding angles, alternate interior angles, and the qngle sum property of triangles. Through problems that require proving and applying these theorems, students deepen their understanding of geometric principles and learn how to logically deduce unknown angle measures from given information. This knowledge is crucial for tackling more complex geometric problems and for understanding the geometric foundations of architecture and engineering.

This section introduces students to various types of angles—acute, obtuse, right, straight, and reflex—and their properties. Students engage in activities that involve identifying, measuring, and classifying angles based on their properties. These exercises strengthen their geometric visualization skills and provide a solid foundation for further study in geometry and related fields.

Students apply their knowledge of angles to solve practical problems. They calculate unknown angles in various contexts, such as in polygons, at intersections, and in diagrams involving parallel lines. This practice not only reinforces their understanding of angle relationships but also enhances their ability to apply mathematical reasoning to real-world situations, such as in construction, navigation, and design.