Question

solve for x.

x =

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(78 - x=84 - 3x\).

Step2: Solve the equation for \(x\)

Add \(3x\) to both sides: \(78 - x+3x=84 - 3x+3x\), which simplifies to \(78 + 2x=84\).
Subtract \(78\) from both sides: \(2x=84 - 78\), so \(2x = 6\).
Divide both sides by \(2\): \(x=\frac{6}{2}\).

Answer:

\(3\)