Chapter 10: Angle Relationships in Circles

Question

Line t is tangent to the circle. Find m AB.

m AB = ___

Answer 1

The measure of the an angle formed by a tangent and a chord is one-half the measure of the intercepted arc. Here the angle is 65 degrees, so it would be 1/2 the measure of the intercepted arc AB, so arc AB would have to measure 130 degrees.