Question

Determine the measure of the indicoted ar(c)/(a)ngle using the theorems on secants and tangents whose intersection is in the exterior of the circle.

Answer 1

To determine the measure of the indicated angle ABC, we can use the theorem on secants and tangents whose intersection is in the exterior of the circle. The measure of the indicated angle is equal to half the difference between the measures of the intercepted arcs.

Step-by-step explanation:

To determine the measure of the indicated ∠ABC, we can use the theorem on secants and tangents whose intersection is in the exterior of the circle. In this case, the measure of the indicated angle is equal to half the difference between the measures of the intercepted arcs.

Let's say the intercepted arcs are AB and AC, and their measures are x and y respectively. The measure of the indicated angle ∠ABC is given by:

∠ABC = (1/2)(x - y)