Question

solve for x.

x =

submit

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. The angle \((5x - 3)^{\circ}\) and the angle equal to \(62^{\circ}\) (because of vertical - angle relationship) are related.

Step2: Set up the equation

Since the angles are equal (vertical angles), we have the equation \(5x-3 = 62\).

Step3: Solve for \(x\)

Add \(3\) to both sides of the equation: \(5x-3 + 3=62 + 3\), which simplifies to \(5x=65\).
Divide both sides by \(5\): \(x=\frac{65}{5}\).

Answer:

\(13\)