Question

question
given ( m parallel n ), find the value of ( x ) and ( y ).
answer
( x=square quad y=square )

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \(x\) and the angle of \(141^{\circ}\) are alternate - exterior angles. Alternate - exterior angles are equal when two parallel lines are cut by a transversal. So \(x = 141\).

Step2: Find the value of \(y\)

\(x\) and \(y\) are supplementary angles (they form a linear pair). The sum of supplementary angles is \(180^{\circ}\). So \(y=180 - x\). Substitute \(x = 141\) into the equation, we get \(y=180 - 141=39\).

Answer:

\(x = 141\), \(y = 39\)