Question

solve for x.
work it out
not feeling ready yet? these can help:
transversals of parallel lines: find angle measures (81)
solve linear equations: mixed re
lesson: transversals of parallel lines

Explanation:

Step1: Set up the equation

Since the angles $(8x - 31)^{\circ}$ and $(5x + 17)^{\circ}$ are vertical - angles and vertical angles are equal, we set up the equation $8x-31 = 5x + 17$.

Step2: Subtract $5x$ from both sides

$8x-5x-31=5x - 5x+17$, which simplifies to $3x-31 = 17$.

Step3: Add 31 to both sides

$3x-31 + 31=17 + 31$, so $3x=48$.

Step4: Divide both sides by 3

$\frac{3x}{3}=\frac{48}{3}$, then $x = 16$.

Answer:

$16$