Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \(x\) and the angle of \(122^{\circ}\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 122\).

Step2: Find the value of \(y\)

\(y\) and the \(122^{\circ}\) angle are supplementary angles (they form a linear pair). The sum of supplementary angles is \(180^{\circ}\). So \(y=180 - 122\).

$$y = 58$$

Answer:

\(x = 122\), \(y = 58\)