Answer:
[tex]\huge\boxed{x = 25}[/tex]
Step-by-step explanation:
In these two lines that intersect, we can see that 4 angles are opposite from each other. This means that they are vertical angles and therefore equal. 2 of these angles have values next to them, which happen to be across from each other.
Based on this, we know that they are equal. If we write this as an equation, we can solve it to find the value of x.
75º = (4x - 25)º
Add 25º to both sides of the equation
100º = 4x
Divide both sides of the equation by 4 to isolate x
x = 25
Let me know if you have any questions!
