18sevenskithomas 18sevenskithomas

26-07-2017
Mathematics

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AB and BC are two tangents to a circle which intersect outside the circle at a point B. If the measure of arc AC is 160°, what is the measure of angle ABC?

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Banabanana Banabanana

30-07-2017

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

arc AC = 160° (given)
arc ADC = 360 - 160 = 200°

∠ABC = (200-160)/2= 20° ← answer

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