Question

determine the value of x that shows mw→∥tg→. harmon lane, ch→, crosses the streets camelot dr. and university drive, tg→, as shown. m∠tpd = 55°, and m∠mdp=(5x - 16)°. university dr. camelot dr.

Explanation:

Step1: Identify corresponding angles

Since $\overline{MW}\parallel\overline{TG}$, $\angle TPD$ and $\angle MDP$ are corresponding angles and are equal.
So, $5x - 16=55$.

Step2: Solve for x

Add 16 to both sides of the equation:
$5x-16 + 16=55 + 16$.
$5x=71$.
Divide both sides by 5:
$x=\frac{71}{5}=14.2$.

Answer:

$x = 14.2$