Question

find the value of each variable. 6. 3x° (80 - x)°

Explanation:

Step1: Identify angle - relationship

The two angles $3x^{\circ}$ and $(80 - x)^{\circ}$ are vertical angles, and vertical angles are equal. So we set up the equation $3x=80 - x$.

Step2: Solve the equation for x

Add $x$ to both sides of the equation: $3x+x=80 - x+x$, which simplifies to $4x = 80$.
Then divide both sides by 4: $x=\frac{80}{4}=20$.

Answer:

$x = 20$