Respuesta :

Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm