Answer:
x = 17
Angle DBC = 109°
Explanation:
-> These are vertical angles, so we can set them equal to each other and solve.
[Given by vertial angles]
6x + 7 = 8x - 27
[Add 27 to both sides]
6x + 34 = 8x
[Subbtract 6x from both sides]
34 = 2x
[Divide both sides by 2]
x = 17
-> Now we will plug in our x value and solve for either of the angles as they are equivalent. I am going to solve for ABE since it does not have subtraction and I find it easier. xD This will still give us the measurement of angle DBC.
[Given]
6x + 7
[Plug-in 17]
6(17) + 7
[Multiply and then add]
102 + 7 = 109
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather