Euclidean geometry: aadvanced rider

[VictoriaV]

Homework Statement

LPN is a tangent to circle ADP. Circle BCP touches the larger circle internally at P. Chord AD cuts the smaller circle at B and C and BP and CP are joined

Homework Equations

The Attempt at a Solution

∠P4+5 = ∠B1 (tan chord theorem)
∠P1+2 = C1 (tan chord theorem)

 

[.Scott]

The attached file shows the numbers 1 through 5 which I am taking to indicate that angles PBC, PCB, and LPA are all equal. You didn't say what the problem was.

I do notice:
Since angles PBC and PCB are equal and line LN is tangent at P, lines LN and AD are parallel.
That makes angle PAD also measurement #1.
That would mean that the two circles are identical.
So angles 2 and 4 are zero degrees.

I'm guessing that I have misinterpreted something.

If you provide details, I take another shot at it.