Question

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

Explanation:

Answer:

To find \( x \) and \( y \) given \( m \parallel n \):

• For \( x \): Since \( m \parallel n \) and the transversal creates corresponding angles, \( x = 131^\circ \) (corresponding angles are equal).
• For \( y \): The angle \( y^\circ \) and \( 131^\circ \) are supplementary (they form a linear pair), so \( y = 180 - 131 = 49^\circ \).

Thus, \( x = 131 \) and \( y = 49 \).