Question

solve for x: 1 / 6 vertical angles are congruent to each other! + get another hint (1/6)

Explanation:

Step1: Set up the equation

Since vertical angles are congruent, we set \(9x + 184=7x + 156\).

Step2: Move \(x\) - terms to one side

Subtract \(7x\) from both sides: \(9x-7x + 184=7x-7x + 156\), which simplifies to \(2x+184 = 156\).

Step3: Move constant to the other side

Subtract 184 from both sides: \(2x+184 - 184=156 - 184\), getting \(2x=-28\).

Step4: Solve for \(x\)

Divide both sides by 2: \(\frac{2x}{2}=\frac{-28}{2}\), so \(x=-14\).

Answer:

\(-14\)