4.如图,$△ ABC ≌ △ DCB$,若$∠ A=80°$,$∠ DBC=40°$,则$∠ DCA$的度数为
20°
。

答案:4.20°
5.如图,$△ EFG ≌ △ NMH$,$∠ F$与$∠ M$是对应角.
(1)求证:$FH=GM$;
(2)若$FH=1.1\ \mathrm{cm}$,$HM=3.3\ \mathrm{cm}$,求$HG$的长度.

答案:5.(1)证明:$\because △ EFG≌△ NMH$,$∠ F$与$∠ M$是对应角,
$\therefore FG=MH$,$\therefore FG-HG=MH-HG$,即$FH=GM$.
(2)解:$\because △ EFG≌△ NMH$,$\therefore FG=HM=3.3\ \mathrm{cm}$,
$\therefore HG=FG-FH=3.3-1.1=2.2(\mathrm{cm})$.