Question

in the figure above, line q is parallel to line r, and both lines are intersected by line s. use what you know about angle pairs and tra
answer

Explanation:

Step1: Identify angle relationship

Since line \( q\) is parallel to line \( r\) and cut by transversal \( s\), \( y\) and the \( 58^{\circ}\) angle are supplementary (consecutive interior angles).

Step2: Calculate \( y\)

\( y + 58^{\circ}=180^{\circ}\)
\( y=180^{\circ}- 58^{\circ}\)
\( y = 122^{\circ}\)

Answer:

\(122\)