Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(47^{\circ}\) and \(x^{\circ}\) are vertical angles, they are equal.
\(x = 47\)

Step2: Find the value of \(y\)

Since \(x^{\circ}\) and \(y^{\circ}\) are supplementary angles (they form a linear pair), \(x + y=180\).
Substitute \(x = 47\) into the equation: \(47 + y=180\), then \(y=180 - 47\)
\(y = 133\)

Answer:

\(x = 47\), \(y = 133\)