Question

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

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \), the angle \( 105^\circ \) and \( x^\circ \) are supplementary (they form a linear pair, so their sum is \( 180^\circ \)).

Step2: Solve for \( x \)

Using the supplementary angle formula: \( 105 + x = 180 \). Subtract \( 105 \) from both sides: \( x = 180 - 105 = 75 \).

Answer:

\( x = 75 \)