Question

in the figure shown, lines a and b are parallel, and line v intersects both lines. if x = 117 and the y = 6w + 3, find the value of w.
note: figure not drawn to scale.
the value of w = ____

Explanation:

Step1: Use corresponding - angles property

Since lines $a$ and $b$ are parallel and line $v$ is a transversal, $x$ and $y$ are corresponding angles, so $x = y$. Given $x = 117$, then $y=117$.

Step2: Solve for $w$

We know that $y = 6w+3$. Substitute $y = 117$ into the equation:
$6w+3=117$.
Subtract 3 from both sides: $6w=117 - 3=114$.
Divide both sides by 6: $w=\frac{114}{6}=19$.

Answer:

$19$