Question

If BY=41°, what is YAC?

Answer 1

How do I figure it out?

Answer 2

first, find up the measure of angle YAB, this is an incribed angle.
<YAB = 1/2 * <BOY = 1/2 * 41 = 20.5 deg

Answer 3

then we knowed that CA is tangen line which formed right angle, so
<YAB + <YAC = 90
20.5 + <YAC = 90
solve for <YAC

Answer 4

Okay, 1/2 * 41 degrees. Got it.

And...69.5?

Answer 5

yup,
you are right

Answer 6

Thank you.

Answer 7

you're welcome