Question

What would this be? Please help.

Answer 1

Answer:

The answer to your question is ∠ABE = 46

Step-by-step explanation:

Data

BE is a bisector of ∠ABE

∠ABE = 2x + 20

∠EBC = 4x - 6

∠ABE = ?

Process

1.- Bisector is a line that divides an angle into two equal angles.

So

              ∠ ABE = ∠EBC

2.- Substitution

               2x + 20 = 4x - 6

3.- Solve for x

              2x - 4x = -6 - 20

                    - 2x = -26

                        x = -26/-2

                        x = 13

4.- Find the measure of ∠ABE

               ∠ABE = 2(13) + 20

               ∠ABE = 26 + 20

               ∠ABE = 46

Answer 2

Answer:

46

Step-by-step explanation:

Since ray BE is a bisector , you can set 2x+20 = 4x-6

subtract 2x from both sides                           20=2x-6

add 6 to both sides                                          26 = 2x

Divide both sides by 2                                      13 = x

Since angle ABE = 2x + 20, plug 13 in for x.

Angle ABE = 2(13) +20 =26 + 20=46