Question

help

Answer 1

Are you going to tell her how you go tyour answer @debrasha

Answer 2

There are a few things about circles that you need to commit to memory. In this case you need to know the "Tangent Chord Angle" rule. This is Tangent Chord Angle is equal to one half the intercepted arc.

So you see if you knew the arc YA you could take 1/2 of it and voila you would have the answer.

Well you can compute the arc YA because you know the arc BY and you know arc BA is 180 degrees. So arc YA = 180 - 24 degress or 156 degrees. 1/2 of that is 78 degrees and that is the angle YAC measurement.