Question

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

Explanation:

Answer:

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

• For \( x \): The angle of \( 137^\circ \) and \( x^\circ \) are corresponding angles (since \( m \parallel n \) and cut by a transversal), so \( x = 137 \).
• For \( y \): The angle of \( y^\circ \) and \( 137^\circ \) are supplementary (they form a linear pair), so \( y = 180 - 137 = 43 \).

Thus, \( x = 137 \) and \( y = 43 \).