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 The base of the right triangular prism $$ABC-A_{1}B_{1}C_{1}$$ is an isosceles right triangle, with $$∠BAC=90^{\circ}$$, $$AB=AC=2$$, and $$AA_{1}=2 \sqrt {2}$$. Points $$E$$ and $$F$$ are respectively the midpoints of $$BC$$ and $$AA_{1}$$. Determine: 
($$Ⅰ$$) The angle formed by $$FE$$ with the base; 
($$Ⅱ$$) The angle between the skew lines $$EF$$ and $$A_{1}B$$.