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 each pair

1. The angles a and b are vertical as they are opposite each other when two lines intersect.
2. The angles a and b are adjacent as they share a common side and a common vertex.
3. The angles a and b are vertical as they are opposite each other when two lines intersect.
4. The angles a and b are complementary as they appear to form a right - angle (sum to 90°).
5. The angles a and b are adjacent as they share a common side and a common vertex.
6. The angles a and b are adjacent as they share a common side and a common vertex.

Answer:

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