Question

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

Explanation:

Step1: Find y using alternate interior angles

Since \( m \parallel n \), the alternate interior angles are equal. So \( y = 61^\circ \).

Step2: Find x using linear pair

\( x \) and \( y \) form a linear pair, so \( x + y = 180^\circ \). Substituting \( y = 61^\circ \), we get \( x = 180 - 61 = 119^\circ \).

Answer:

\( x = 119^\circ \), \( y = 61^\circ \)