Question

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

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \) and the angles \( x^\circ \) and \( 125^\circ \) are supplementary (they form a linear pair), their sum is \( 180^\circ \).
\[
x + 125 = 180
\]

Step2: Solve for \( x \)

Subtract \( 125 \) from both sides of the equation.
\[
x = 180 - 125
\]
\[
x = 55
\]

Answer:

\( 55 \)