Question

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

Explanation:

Step1: Find y using corresponding angles

Since \( m \parallel n \), the angle of \( 47^\circ \) and \( y^\circ \) are corresponding angles, so \( y = 47 \).

Step2: Find x using linear pair

\( x \) and \( y \) form a linear pair, so \( x + y = 180 \). Substitute \( y = 47 \): \( x + 47 = 180 \), then \( x = 180 - 47 = 133 \).

Answer:

\( x = 133 \), \( y = 47 \)