As shown in the figure, in the acute angle △ ABC, ab = 4, BC = 5, ∠ ACB = 45 °, rotate △ ABC counterclockwise around point B to obtain △ a1bc1. (1) as shown in Figure 1, when point C1 is on the extension line of line Ca, calculate the degree of ∠ cc1a1; (2) as shown in Figure 2, connect Aa1 and CC1. If the area of △ aba1 is 4, calculate the area of △ cbc1

(1) ∵ rotate △ ABC counterclockwise around point B to get △ a1bc1, ≌ a1bc1, ≌ Ba = BA1, BC = BC1, ≌ ABC = a1bc1, ∽ babc = ba1bc1, ∽ ABC + ≌ ABC1, ∽ aba1, ∽ cbc1, ∽ s △ABA1S△CBC1＝(ABBC)2＝(45)2＝1625，∵S△ABA1＝4，∴S△CBC1＝254．

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