Question

1. what type of relationship to angles m and p have?

image of intersecting lines with angles m, n, o, p labeled
a. adjacent
b. complementary
c. supplementary
d. vertical

Explanation:

Step1: Recall angle relationship definitions

• Adjacent: Share a common side and vertex, no overlapping.
• Complementary: Sum to \(90^\circ\).
• Supplementary: Sum to \(180^\circ\).
• Vertical: Opposite angles formed by intersecting lines, equal measure.

Step2: Analyze angles \(m\) and \(p\)

From the diagram, \(m\) and \(p\) are opposite angles formed by intersecting lines (the two straight lines crossing). This matches the definition of vertical angles.

Answer:

D. Vertical