Question

name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
3)
4)
5)
6)

Explanation:

Step1: Recall angle - relationship definitions

Complementary angles add up to 90°, supplementary angles add up to 180°, vertical angles are opposite each other when two lines intersect, and adjacent angles share a common side and a common vertex.

Step2: Analyze figure 1

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

Step3: Analyze figure 2

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

Step4: Analyze figure 3

Angles a and b are vertical as they are opposite each other when two lines intersect.

Step5: Analyze figure 4

Angles a and b are complementary as they form a right - angle (90°).

Step6: Analyze figure 5

Angles a and b are complementary as they form a right - angle (90°).

Step7: Analyze figure 6

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

Answer:

1. Adjacent
2. Adjacent
3. Vertical
4. Complementary
5. Complementary
6. Adjacent