Question

1. given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify supplementary angles

The angle of \(146^\circ\) and \(x^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[146 + x = 180\]

Step2: Solve for \(x\)

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

Answer:

\(34\)