Question

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

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \) and \( t \) is a transversal, \( x^\circ \) and \( 32^\circ \) are supplementary angles (they form a linear pair).

Step2: Use supplementary angle formula

The sum of supplementary angles is \( 180^\circ \). So, \( x + 32 = 180 \).

Step3: Solve for \( x \)

Subtract 32 from both sides: \( x = 180 - 32 = 148 \).

Answer:

148