Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
