Question

solve for x.

x =
submit

Explanation:

Step1: Use vertical angles and parallel lines properties

Since \( JK\parallel LM\), the angle \((5x - 3)^{\circ}\) and the angle equal to \(62^{\circ}\) (vertical - angle to the given \(62^{\circ}\) angle) are equal. So, \(5x-3 = 62\).

Step2: Solve the equation for \(x\)

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

Answer:

\(13\)