∠ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 110°, what is the measure of ∠ABC?
2 answers:
Answer:
∠ABC = 70°
Step-by-step explanation:
As shown in the figure attached AB and BC are two tangents drawn on a circle touching at A and C.
Measure of minor arc = 110°
And we have to find the measurement of ∠ABC.
Since measure of minor arc AC = 110°
and m(minor arc AC) + m(major arc AC) = 360°
110° + major arc AC = 360°
major arc AC = 360 - 110 = 250°
and angle formed outside the circle by two tangents formed at B = 1/2(difference of intercepted arcs)
=
Therefore answer is ∠ABC = 70°
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Step-by-step explanation:
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<em>Additional comment</em>
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