14. 如图,已知$\triangle ABC \cong \triangle DEF$,点$B$、$E$、$C$、$F$在同一直线上.
(1)若$\angle A = 95^{\circ}$,$\angle F = 55^{\circ}$,求$\angle DEF$的度数；
(2)若$BC = 6$,点$E是BC$的中点,求$CF$的长.

(1) $\angle DEF = 30^{\circ}$ (2) $CF = 3$

15. 如图,已知$\triangle ABC \cong \triangle DBE$,点$D在AC$上,$BC与DE交于点P$.
(1)若$\angle ABE = 160^{\circ}$,$\angle DBC = 30^{\circ}$,求$\angle CBE$的度数；
(2)若$AD = DC = 3\ \text{cm}$,$BC = 4.5\ \text{cm}$,求$\triangle DCP与\triangle BPE$的周长之和.

(1) $\angle CBE = 65^{\circ}$ (2) 18 cm