Question

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

Explanation:

Step1: Find x (corresponding angles)

Since \( m \parallel n \), the angle \( x^\circ \) and the \( 36^\circ \) angle are corresponding angles, so \( x = 36 \).

Step2: Find y (supplementary angles)

\( x \) and \( y \) are supplementary (form a linear pair), so \( x + y = 180 \). Substitute \( x = 36 \): \( 36 + y = 180 \), so \( y = 180 - 36 = 144 \).

Answer:

\( x = 36 \), \( y = 144 \)