Question

question given m || n, find the value of x and y.

Explanation:

Step1: Identify x (corresponding angles)

Since \( m \parallel n \), the angle \( x^\circ \) and the \( 61^\circ \) angle are corresponding angles, so \( x = 61 \).

Step2: Identify y (supplementary angles)

\( x^\circ \) and \( y^\circ \) are supplementary (form a linear pair), so \( x + y = 180 \). Substitute \( x = 61 \): \( 61 + y = 180 \), so \( y = 180 - 61 = 119 \).

Answer:

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