Question

look at the diagram.
which equation can be used to solve for x?
2(x + 8) = 126
x + 16 = 126
2x + 8 = 126
16x = 126
solve for x.
x =
submit
work it out
not feeling ready yet? these can help

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. The angle \(126^{\circ}\) and the sum of \((x + 8)^{\circ}\) and \((x + 8)^{\circ}\) are vertical angles. So \(2(x + 8)=126\).

Step2: Expand the equation

Using the distributive property \(a(b + c)=ab+ac\), we have \(2x+16 = 126\).

Step3: Solve for \(x\)

Subtract \(16\) from both sides of the equation: \(2x+16-16=126 - 16\), which gives \(2x=110\). Then divide both sides by \(2\): \(x = 55\).

Answer:

\(x = 55\)