Question

given m || n, find the value of x. 103° x°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(103^{\circ}\) angle and the \(x^{\circ}\) angle are supplementary angles (linear - pair of angles formed by a transversal intersecting two parallel lines).

Step2: Set up equation

The sum of supplementary angles is \(180^{\circ}\). So, \(x + 103=180\).

Step3: Solve for \(x\)

Subtract 103 from both sides of the equation: \(x=180 - 103\).
\(x = 77\)

Answer:

\(77\)