ABC and DEC are triangles
$$\begin{aligned} & \mathrm { m } ( \widehat { \mathrm { CAB } } ) = \mathrm { m } ( \widehat { \mathrm { DEC } } ) \\ & | \mathrm { AD } | = 5 \mathrm {~cm} \\ & | \mathrm { DC } | = 3 \mathrm {~cm} \\ & | \mathrm {~EB} | = 2 \mathrm {~cm} \\ & | \mathrm { BC } | = x \end{aligned}$$
According to the given information, what is x in cm?
A) 4
B) 5
C) $\frac { 9 } { 2 }$
D) $\frac { 10 } { 3 }$
E) $\frac { 13 } { 3 }$
ABC and DEC are triangles

$$\begin{aligned} & \mathrm { m } ( \widehat { \mathrm { CAB } } ) = \mathrm { m } ( \widehat { \mathrm { DEC } } ) \\ & | \mathrm { AD } | = 5 \mathrm {~cm} \\ & | \mathrm { DC } | = 3 \mathrm {~cm} \\ & | \mathrm {~EB} | = 2 \mathrm {~cm} \\ & | \mathrm { BC } | = x \end{aligned}$$

According to the given information, what is x in cm?\\
A) 4\\
B) 5\\
C) $\frac { 9 } { 2 }$\\
D) $\frac { 10 } { 3 }$\\
E) $\frac { 13 } { 3 }$