Answer:
x = 47
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles for a triangle
2x-2 = x + 45
Subtract x from each side
2x-2 -x = x+45-x
x-2 = 45
Add 2 to each side
x-2 +2 = 45+2
47 degrees
Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:
[tex]2x-2=x+45\\x=47[/tex]
