Question

below are two parallel lines with a third line intersecting them.
x = \square

Explanation:

Step1: Identify angle relationship

The two lines are parallel, and the transversal creates same - side interior angles. Same - side interior angles are supplementary, meaning their sum is \(180^{\circ}\).

Step2: Calculate \(x\)

We know one angle is \(105^{\circ}\), so we use the formula \(x + 105^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x = 180^{\circ}- 105^{\circ}\).
\(x=75^{\circ}\)

Answer:

\(75\)