Question

given ( m parallel n ), find the value of ( x ) and ( y ).
answer attempt 2 out of 2
( x = square ) ( y = square )
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Explanation:

Step1: Find the value of \( y \)

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

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Step2: Find the value of \( x \)

Because \( m\parallel n \), \( x \) and \( y \) are same - side interior angles. But also, we can note that \( x \) and \( 43^{\circ} \) are alternate - interior angles (by the property of parallel lines \( m\parallel n \) and a transversal). So \( x = 43^{\circ} \)

Answer:

\( x = 43 \), \( y=137 \)