Question

name the relationship: complementary, linear pair, vertical, or adjacent.
↑ might be more than one

Explanation:

Step1: Recall angle - relationship definitions

Adjacent angles share a common side and a common vertex. Complementary angles add up to 90 degrees. Linear - pair angles are adjacent and supplementary (add up to 180 degrees). Vertical angles are non - adjacent and formed by two intersecting lines, and they are equal.

Step2: Analyze each figure

Figure (1)

Angles a and b are adjacent as they share a common side and a common vertex.

Figure (2)

Angles a and b are adjacent as they share a common side and a common vertex.

Figure (3)

Angles a and b are adjacent as they share a common side and a common vertex.

Figure (4)

Angles a and b are complementary since they form a right - angle (90 degrees). They are also adjacent as they share a common side and a common vertex.

Figure (5)

Angles a and b are vertical angles as they are non - adjacent and formed by two intersecting lines.

Figure (6)

Angles a and b are adjacent as they share a common side and a common vertex.

Figure (7)

Angles a and b are adjacent as they share a common side and a common vertex.

Figure (8)

Angles a and b are vertical angles as they are non - adjacent and formed by two intersecting lines.

Answer:

(1) Adjacent
(2) Adjacent
(3) Adjacent
(4) Complementary, Adjacent
(5) Vertical
(6) Adjacent
(7) Adjacent
(8) Vertical