Answer:
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
