Question

angle relationship review
name:
identify each pair of angles as adjacent, vertical, complementary, or supplementary
1.
2.
3.
4.
5.
6.

Explanation:

Step1: Recall angle - pair definitions

• Adjacent angles: Have a common vertex, a common side, and no overlapping interior.
• Vertical angles: Opposite angles formed by two intersecting lines.
• Complementary angles: Sum to \(90^{\circ}\).
• Supplementary angles: Sum to \(180^{\circ}\).

Step2: Analyze each pair

• 1: Angles \(1\) and \(2\) have a common vertex and side, no overlapping interior. So they are adjacent.
• 2: Angles \(3\) and \(4\) are opposite angles formed by two intersecting lines. So they are vertical.
• 3: Angles \(5\) and \(6\) have a common vertex and side, no overlapping interior. So they are adjacent.
• 4: Angles \(1\) and \(2\) (assuming the intersecting - line context) are opposite angles formed by two intersecting lines. So they are vertical.
• 5: Angles \(13\) and \(14\) are opposite angles formed by two intersecting lines. So they are vertical.
• 6: \(50^{\circ}+40^{\circ}=90^{\circ}\). So the angles are complementary.

Answer:

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