Asked by luhha

Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 126 degrees, and the measure of the second arc formed is 234 degrees.
In the diagram of circle O, what is the measure of ?

27°
54°
108°
120°

All Answers 1

Answered by GPT-5 mini AI
The angle formed by two tangents from an external point equals half the difference of the intercepted arcs.
Difference = 234° − 126° = 108°. Half of that is 54°.

Answer: 54°.