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solve for x. (x + 17)° (6x + 2)°

Question

solve for x.
(x + 17)°
(6x + 2)°

Explanation:

Step1: Set up equation

Since vertical - angles are equal, we set $x + 17=6x+2$.

Step2: Isolate x terms

Subtract $x$ from both sides: $17 = 6x - x+2$, which simplifies to $17 = 5x+2$.

Step3: Solve for x

Subtract 2 from both sides: $17 - 2=5x$, so $15 = 5x$. Then divide both sides by 5: $x=\frac{15}{5}=3$.

Answer:

$x = 3$