The discussion centers on the equality of three angles in a geometric configuration, demonstrating that they are equal due to the properties of triangles and vertical angles. It explains that the sum of angles in a triangle is 180 degrees, leading to the conclusion that angles θ2 and θ3 are equal based on their relationships with vertical angles and right angles. The theorem stating that angles with mutually perpendicular sides are equal is highlighted as a key principle in this explanation. Additionally, the concept is noted for its practical applications in physics, particularly in problems involving inclined planes. Understanding these geometric relationships is essential for solving related mathematical and physical problems.