Question

look at the diagram.
which equation can be used to solve for x?
16x = 126
x + 16 = 126
2x + 8 = 126
2(x + 8) = 126
solve for x.
x =

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. Here, \(2(x + 8)\) and \(126\) are vertical angles. So the equation is \(2(x + 8)=126\).

Step2: Solve the equation \(2(x + 8)=126\)

First, divide both sides by \(2\):
\(\frac{2(x + 8)}{2}=\frac{126}{2}\)
\(x + 8 = 63\)
Then, subtract \(8\) from both sides:
\(x+8 - 8=63 - 8\)
\(x = 55\)

Answer:

The equation is \(2(x + 8)=126\) and \(x = 55\)