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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
User Djf
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1 Answer

2 votes

Answer:

34°

Explanation:

The angle formed by two tangents is equal to half the difference of the intercepted arcs.

The first intercepted arc, between points A and C, is 146°. This leaves

360-146 = 214° for the second intercepted arc.

The difference between these two is

214-146 = 68°

Dividing this by 2,

68/2 = 34°

User Viplezer
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6.5k points