Question

solve for x. k (78 - x)° o l m p n (84 - 3x)° x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Here, \((78 - x)^{\circ}\) and \((84 - 3x)^{\circ}\) are vertical angles. 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 \(78 + 2x=84\). Then subtract 78 from both sides: \(2x=84 - 78\), so \(2x = 6\). Divide both sides by 2: \(x=\frac{6}{2}=3\).

Answer:

\(3\)