Question

angle pair relationships
name the relationship: complementary, linear pair, vertical, or adjacent.
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

Step1: Recall angle - pair definitions

Complementary angles add up to 90°, linear - pair angles are adjacent and 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 angles as they are opposite each other when two lines intersect.
2. The angles \(a\) and \(b\) are adjacent angles as they share a common side and a common vertex.
3. The angles \(a\) and \(b\) are adjacent angles as they share a common side and a common vertex.
4. The angles \(a\) and \(b\) are complementary angles since the right - angle indicates that \(a + b=90^{\circ}\).
5. The angles \(a\) and \(b\) are vertical angles as they are opposite each other when two lines intersect.
6. The angles \(a\) and \(b\) are adjacent angles as they share a common side and a common vertex.
7. The angles \(a\) and \(b\) are a linear pair as they are adjacent and form a straight - line, so \(a + b = 180^{\circ}\).
8. The angles \(a\) and \(b\) are vertical angles as they are opposite each other when two lines intersect.

Answer:

1. Vertical
2. Adjacent
3. Adjacent
4. Complementary
5. Vertical
6. Adjacent
7. Linear pair
8. Vertical