Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles with measures $62^{\circ}$ and $(5x - 3)^{\circ}$ are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal.

Step2: Set up the equation

Since the corresponding angles are equal, we have the equation $5x-3 = 62$.

Step3: Solve the equation for x

Add 3 to both sides of the equation: $5x-3 + 3=62 + 3$, which simplifies to $5x=65$. Then divide both sides by 5: $x=\frac{65}{5}=13$.

Answer:

$13$