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Angle ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 110°, what i...
10 months ago
Q:
Angle ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 110°, what is the measure of angle ABC?
Accepted Solution
A:
If two tangents intersect at a point outsides the circle, then its angle measure is equal to one-half the difference of its intercepted arcs.
A circle has 360 degrees, so to find the measure of the major arc, subtract 110 from 360 to get 250.
ABC = 1/2(250 - 110)
ABC = 1/2(140)
ABC = 70
The measure of angle ABC is 70 degrees.
Hope this helps =)