Ch. 9

Case 1: The circle's center is on the inscribed angle.

This proof uses the variables x, y, and z to represent the measures of the angles as shown in the diagram at right.

Case 2: The circle's center is outside the inscribed angle.

This proof uses x, y, and z to represent the measures of the angles, and p and q to represent the measures of the arcs as shown in the diagram at right.

Case 3: The circle's center is inside the inscribed angle.

This proof uses x, y, and z to represent the measures of the angles, and p and , B to represent the measures of the ares, as shown in the diagram at right.