Mathematics

Problem

\triangle ABC

AB = (5x-1)\,\text{cm}

and

AC = 12\,\text{cm}

. In

\triangle DEF

DE = (2x+8)\,\text{cm}

and

DF = 12\,\text{cm}

. If

\angle BAC = \angle EDF

and the two triangles are congruent by the SAS criterion, then the value of

x

is a)

\dfrac{13}{5}

2

3

\dfrac{7}{3}