The Theorem about Angles Subtended by the Same Arc on a Circle

In South Africa, Grade 10 Math students learn about the theorem stating that when two angles subtend the same arc on a circle, they are equal. This fundamental concept is a part of the geometry curriculum and is known as the "Angles in the Same Segment Theorem." Symbolically, if angles AOB and ACB both subtend the same arc AB, then they are equal, i.e., ∠AOB = ∠ACB. Understanding this theorem is crucial for solving problems related to circle theorems and is a building block for more advanced mathematical concepts.