Question

solve for x. (56 - 5x)° (62 - 8x)° x =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. The angles $(56 - 5x)^{\circ}$ and $(62 - 8x)^{\circ}$ are vertical angles. So, we set up the equation $56-5x = 62 - 8x$.

Step2: Add $8x$ to both sides

$56-5x+8x=62 - 8x+8x$, which simplifies to $56 + 3x=62$.

Step3: Subtract 56 from both sides

$56 + 3x-56=62-56$, resulting in $3x = 6$.

Step4: Divide both sides by 3

$\frac{3x}{3}=\frac{6}{3}$, so $x = 2$.

Answer:

$2$