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°.
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
1 answer