Final answer:
The value of x when given that lines m and n are parallel, and the two angle expressions are (5x+28)° and (7x-4)°, is found to be x = 16 after solving the equation 5x + 28 = 7x - 4.
Step-by-step explanation:
To find the value of x given that lines m and n are parallel and we have two angle expressions, (5x+28)° and (7x-4)°, we can set up an equation because these two angles will be equal due to corresponding angles postulate or alternate interior angles theorem.
So, our equation is:
5x + 28 = 7x - 4
Now we need to solve for x:
- Subtract 5x from both sides: 28 = 2x - 4
- Add 4 to both sides: 32 = 2x
- Divide by 2: x = 16
The value of x is 16.