Question

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

Explanation:

Step1: Find the value of \( y \)

Since \( y^{\circ} \) and \( 43^{\circ} \) are supplementary angles (they form a linear pair), we have \( y + 43=180 \).

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Step2: Find the value of \( x \)

Because \( m\parallel n \), \( x^{\circ} \) and \( y^{\circ} \) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \( x = y \).
Since \( y = 137 \), then \( x = 137 \).

Answer:

\( x = 137\), \( y = 137\)