56.6k views
1 vote
In the diagram of circle O, what is the measure of <abc?

In the diagram of circle O, what is the measure of <abc?-example-1

1 Answer

3 votes
The angle formed by the intersection of 2 tangents outside the circle equals half the difference of the intercepted arcs.

near arc = 150°
far arc = 360 - 150 = 210°

m∠ABC = (210 - 150)/2 = 30°