Question

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

Explanation:

Step1: Find the value of \( x \)

Since \( m \parallel n \), the corresponding angles are equal. The angle of \( 127^\circ \) and \( x^\circ \) are corresponding angles, so \( x = 127 \).

Step2: Find the value of \( y \)

\( x \) and \( y \) are supplementary angles (they form a linear pair), so \( x + y = 180^\circ \). Substitute \( x = 127 \) into the equation: \( 127 + y = 180 \). Solve for \( y \): \( y = 180 - 127 = 53 \).

Answer:

\( x = 127 \), \( y = 53 \)