Question

1. (options about angle sum: a. 90°, b. 180°, c. 360°, d. congruent measurements)
2. what type of relationship to angles m and p have?

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

1. which of the following terms best describes the relationship between the two angles shown below?

(image of two angles f and g with a common vertex)
(options: a. adjacent, b. complementary, c. supplementary, d. vertical)

Explanation:

Question 2

Step1: Recall angle relationship definitions

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

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

Angles \(m\) and \(p\) are opposite each other at the intersection of two lines. This matches the definition of vertical angles.

Step1: Recall angle relationship definitions

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

Step2: Analyze the two angles

The two angles share a common vertex and a common side (they are next to each other), which fits the definition of adjacent angles. They do not sum to \(90^\circ\) or \(180^\circ\) (visually, their sum is less than \(180^\circ\) and more than \(90^\circ\) but the key is the shared side/vertex), and they are not vertical (not opposite from intersecting lines).

Answer:

D. Vertical

Question 3