Question

1. which of the following terms best describes the relationship between the two angles shown below? a. adjacent b. complementary c. supplementary d. vertical

Explanation:

Step1: Recall angle relationship definitions

• Adjacent angles: 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.

Step2: Analyze the diagram

The two angles (\(f\) and \(g\)) share a common vertex and side, with no overlap. They don’t sum to \(90^\circ\) (not complementary), \(180^\circ\) (not supplementary), and aren’t vertical (no intersecting lines forming them). So they are adjacent.

Answer:

A. Adjacent