Question

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

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. The angles $(78 - x)^{\circ}$ and $(84 - 3x)^{\circ}$ are vertical angles. So, we set up the equation $78 - x=84 - 3x$.

Step2: Isolate x - terms

Add $3x$ to both sides of the equation: $78 - x+3x=84 - 3x+3x$, which simplifies to $78 + 2x=84$.

Step3: Isolate the constant term

Subtract 78 from both sides: $78 + 2x-78=84 - 78$, resulting in $2x = 6$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{6}{2}$, so $x = 3$.

Answer:

$3$