M angle ABC=40 and BD is the angle bisect of angle ABC what is x

x = 7

Step-by-step explanation:

<ABC = 40 degrees.

It has 2 angles that are equal making up ABC because BD is an angle bisector.

Each of the angles = 20 degrees (1/2 of 40 = 20)

3x - 1 = 20

34 - 2x = 20

You should get the same answer if you just solve one of those equations.

3x - 1 = 20           Add 1 to both sides

3x = 20 + 1

3x = 21                Divide by 3

x = 21 / 3

x = 7

Just to make sure I'm right, we'll solve the other one.

34 - 2x = 20           Subtract 34 from both sides

-34          -34

- 2x      = - 14          Divide by -2

x = -14/-2

x = 7

There is a third way you could solve for x. You could equate the two parts

3x - 1 = 34 - 2x              Add 2x to both sides

3x+ 2x - 1 = 34              Combine

5x - 1 = 34                     Add 1 to both parts

5x = 35                          Divide by 5

5x/5 = 35/5

x = 7

12

step-by-step explanation: