Question

test review: angle relationships
name the relationship: complementary, linear pair, vertical, or adjacent.
1)
2)
3)
4)

Explanation:

1. Analyze the first pair of angles

• Step1: Check the relationship

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the first figure, angles \(a\) and \(b\) have a common vertex and a common side.

2. Analyze the second pair of angles

• Step1: Check the relationship

A linear pair is a pair of adjacent angles whose non - common sides are opposite rays. In the second figure, angles \(a\) and \(b\) are adjacent and their non - common sides form a straight line.

3. Analyze the third pair of angles

• Step1: Check the relationship

Complementary angles are two angles whose sum is \(90^{\circ}\). In the third figure, the sum of angles \(a\) and \(b\) is \(90^{\circ}\) (as indicated by the right - angle symbol).

4. Analyze the fourth pair of angles

• Step1: Check the relationship

Vertical angles are two non - adjacent angles formed by the intersection of two lines. In the fourth figure, angles \(a\) and \(b\) are non - adjacent and are formed by the intersection of two lines.

Answer:

1. Adjacent
2. Linear pair
3. Complementary
4. Vertical