Question

for items 11 - 13, use the figure shown. lines a, b, c, and d intersect. which pair of lines are parallel? a and b a and c c and d

Explanation:

Step1: Recall the property of parallel lines

Parallel lines have equal corresponding angles.

Step2: Check angles for each pair

• For \(a\) and \(b\): No corresponding - angle equality.
• For \(a\) and \(c\): No corresponding - angle equality.
• For \(c\) and \(d\): The angles adjacent to \(95^{\circ}\) on lines \(c\) and \(d\) (linear - pair angles) are \(180 - 95=85^{\circ}\). Also, other angle relationships (like alternate - interior or corresponding angles) can be checked. Since \(c\) and \(d\) have equal corresponding angles (by the property of angles formed by a transversal intersecting two lines), \(c\) and \(d\) are parallel.

Answer:

c and d