Question

lines ℓ and m are parallel. what is the value of x? (diagram showing lines ℓ, m, and angles 36° and x°)

Explanation:

Step1: Identify Vertical Angles

Vertical angles are equal. The \(36^\circ\) angle and \(x^\circ\) are vertical angles (since lines \(l\) and \(m\) are parallel, and the transversal creates vertical angles here).

Step2: Determine \(x\)

Since vertical angles are equal, \(x = 36\).

Answer:

\(36\)