Hm... Scizor... you had a metal coat?
Okay, serious things now.
Make a sketch.
You'll see from your sketch that angle ADB is equal to (90 - 60). 90 because ST is a tangent and this is divided into two angles, one being 60 degrees.
Then, using the properties of angles in a circle, we know that angle CBD and angle CAD are equal, hence, angle CAD = 40 degrees (Which is also angle PAD)
Now, you'll also see that PAD forms a triangle. You have angle PAD, angle PDA and you need to find angle APD. Can you find it?
The answer is: