Review: An incribed angle has its vertex on a circle and intersects the same circle in two additional points. Angle A below is an inscribed angle.

Construct a circle with inscribed angle BAC. Construct arc BC. Measure angle BAC and arc BC. Try dragging points A, B and C. What appears to be true? Proof? Hint?

Investigation 2:

What would be true about two different inscribed angles on the same circle that intercepted the same arc? Why? Develop a GSP sketch that illustrates this concept.