Respuesta :

Answer:

13

Step-by-step explanation:

If BE is the bisector then m<ABE must be equal to m<EBC

So we make the equation like this :

2x + 20 = 4x - 6

20+6 = 4x-2x

26=2x

x = 13

Answer:

The answer to your question is x = 13

Step-by-step explanation:

Due to BE is an angle bisector, we can conclude that the ∠ABE = ∠EBC

Then, we equal both angles and solve for x.

                        2x + 20 = 4x - 6

Subtract 20 in both sides

                        2x +20 - 20 = 4x - 6 - 20

Simplify

                                2x = 4x - 26

Substract 4x in both sides

                         2x - 4x = 4x - 4x -26

Simplify

                          -2x = -26

Divide both sides by -2

                          -2x / -2 = -26/-2

Simplify

                             x = 13