<image>As shown in the figure, $$AB$$ is the diameter of the circle $$⊙O$$, chords $$AD$$ and $$BC$$ intersect at point $$P$$, and $$AD=BC$$.
$$(1)$$ Prove: $$\triangle ACB$$ ≌ $$\triangle BDA$$; 
$$(2)$$ If $$∠ABC=35^{\circ}$$, then $$∠CAP=$$ ______ $$ {\,\!}^{\circ}.$$