Question

given m||n, find the value of x. answer attempt 2 out of 2 x = 10

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), \(x\) and the \(146^{\circ}\) angle are supplementary angles (linear - pair or same - side interior angles).

Step2: Set up the equation

The sum of supplementary angles is \(180^{\circ}\). So, \(x + 146=180\).

Step3: Solve for \(x\)

Subtract 146 from both sides of the equation: \(x=180 - 146\).
\(x = 34\)

Answer:

\(x = 34\)