Question

5. In the picture above, line AC is tangent to the circle at B, <ABE intercepts minor arc BE (in red) while <CBE intercepts major arc BDE (in blue). Use this picture to prove that the measure of the angle between a tangent and a chord is always half the measure of the intercepted arc. For your proof, use two cases, acute angle and obtuse angle. Hint: Use the diameter drawn, and the inscribed angle theorem, to help you

Answer 1

2 inscribed angle 2