Question

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

Explanation:

Step1: Find the value of \( y \)

Since \( m \parallel n \), the corresponding angles are equal. The angle of \( 65^\circ \) and \( y^\circ \) are corresponding angles, so \( y = 65 \).

Step2: Find the value of \( x \)

\( x \) and \( y \) are supplementary angles (they form a linear pair), so \( x + y = 180 \). Substitute \( y = 65 \) into the equation: \( x + 65 = 180 \). Solving for \( x \), we get \( x = 180 - 65 = 115 \).

Answer:

$x = 115$, $y = 65$