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16. 如图,已知$\triangle ABC \cong \triangle DEB$,点$E在AB$边上,$DE与AC交于点F$.
(1)若$AE = 8$,$BC = 12$,求线段$DE$的长；
(2)若$\angle A = 37^{\circ}$,$\angle DBE = 52^{\circ}$,求$\angle EFC$的度数.
(1)若$AE = 8$,$BC = 12$,求线段$DE$的长；
(2)若$\angle A = 37^{\circ}$,$\angle DBE = 52^{\circ}$,求$\angle EFC$的度数.
答案
(1) $DE = 20$ (2) $\angle EFC = 126^{\circ}$
17. 如图,已知$\triangle ABC \cong \triangle ADE$,$BC的延长线交AD于点F$,交$ED于点G$,且$\angle CAD = 30^{\circ}$,$\angle B = \angle D = 25^{\circ}$,$\angle EAB = 130^{\circ}$,求$\angle DFB和\angle DGB$的度数.
答案
$\angle DFB = 105^{\circ}$，$\angle DGB = 80^{\circ}$.
