In a triangle, the angle formed between the points of contact of the inscribed circle with the sides is not universally 120 degrees; it varies based on the triangle's angles. The discussion explores this concept using a right triangle as an example. If one angle is 30 degrees, the angle at the center of the inscribed circle can be calculated accordingly. The relationship between the triangle's angles and the inscribed circle's contact points is crucial for understanding this geometric property. Overall, the angle between the points of contact is dependent on the specific triangle configuration.
