Question

AC is tangent to circle O at A.

If mBY = 68°, what is m∠YAC? (1 point) Responses 56° 56 degree 58° 58 degree 62° 62 degree 22° 22 degree

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of angle YAC, we can use the fact that the angle between a tangent and a chord is equal to half the measure of the intercepted arc.

Since AC is the tangent and BY is a chord, we have:

m∠YAC = 1/2 * arc BY

Given that mBY = 68°, we know that arc BY is twice the measure of that angle:

arc BY = 2 * 68° = 136°

Therefore, the measure of angle YAC is:

m∠YAC = 1/2 * 136° = 68°

Therefore, the measure of angle YAC is 68°.