Question

if lines s and t are parallel, which pair of angles is supplementary and why? (1 point)

Explanation:

Step1: Recall the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary.
In the given figure, lines \(s\) and \(t\) are parallel and the horizontal line is a transversal.

Step2: Identify the same - side interior angles

\(\angle BFG\) and \(\angle FGH\) are same - side interior angles.
Since \(s\parallel t\) and they are same - side interior angles formed by the transversal \(FH\) intersecting the parallel lines \(s\) and \(t\).

Answer:

\(\angle BFG\) and \(\angle FGH\) are supplementary because when two parallel lines (\(s\) and \(t\)) are cut by a transversal (\(FH\)), same - side interior angles are supplementary.