Question

∠ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 98°, what is the measure of ∠ABC?

Answer 1

ABC=82 degress

Explanation:

Since tangent-tangent angle theorem states that the measure of angle formed by two tangents intersecting outside of a circle is one half the difference of the intercepted arcs (manor arc-minor arc)

First of all we will find the measure of major arc by subtracting 98 from 360 as a circle is 360 degrees all the way around.