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 i

Question

Alla [95]

3 years ago

15

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 i

s the measure of angle ABC?

Mathematics

1 answer:

Temka [501] · Answer 1 · 2022-04-11T02:46:39+03:00

Temka [501]3 years ago

5 0

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