Question

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

Explanation:

Step1: Find the value of \( y \)

Since \( 131^{\circ} \) and \( y^{\circ} \) are supplementary angles (they form a linear pair), we use the formula \( a + b=180^{\circ} \).
\( y + 131=180 \)
\( y=180 - 131 \)
\( y = 49 \)

Step2: Find the value of \( x \)

Because \( m\parallel n \), \( x^{\circ} \) and \( 131^{\circ} \) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.
So \( x = 131 \)

Answer:

\( x = 131 \), \( y = 49 \)