Question

12 numeric 3 points given a || b, solve for x.

Explanation:

Step1: Identify angle relationship

Since $a\parallel b$, the angle formed by the perpendicular line to $a$ and the corresponding angle formed by the perpendicular line to $b$ are equal. The angle shown as $4(x - 7)^{\circ}$ is a right - angle, so $4(x - 7)^{\circ}=90^{\circ}$.

Step2: Solve the equation for $x$

First, divide both sides of the equation $4(x - 7)=90$ by 4:
$x - 7=\frac{90}{4}=22.5$.
Then, add 7 to both sides of the equation:
$x=22.5 + 7$.
$x = 29.5$.

Answer:

$29.5$