Question

1. classify each pair of angles as vertical, complementary, supplementary, and/or a linear pair.

1.
2.
3.
4.
5.
6.
7.
8.
9.

Explanation:

• Vertical angles: Two non - adjacent angles formed by two intersecting lines.
• Complementary angles: Two angles whose sum is \(90^{\circ}\).
• Supplementary angles: Two angles whose sum is \(180^{\circ}\).
• Linear pair: Adjacent angles that are supplementary (sum to \(180^{\circ}\)).

1. For angles \(1\) and \(2\):

• They are adjacent and their sum is \(180^{\circ}\) (form a straight line). So, they are supplementary and a linear pair.

1. For angles \(3\) and \(4\):

• They are non - adjacent angles formed by two intersecting lines. So, they are vertical angles.

1. For angles \(5\) and \(6\):

• There is no information about their sum being \(90^{\circ}\) or \(180^{\circ}\), and they are not formed by intersecting lines in a way that makes them vertical. So, no specific classification (Others).

1. For angles \(7\) and \(8\):

• They are adjacent and their sum is \(180^{\circ}\) (form a straight line). So, they are supplementary and a linear pair.

1. For angles \(9\) and \(10\):

• There is no information about their sum being \(90^{\circ}\) or \(180^{\circ}\), and they are not formed by intersecting lines in a way that makes them vertical. So, no specific classification (Others).

1. For angles \(11\) and \(12\):

• They are non - adjacent angles formed by two intersecting lines. So, they are vertical angles.

1. For angles \(13\) and \(14\):

• They are non - adjacent angles formed by two intersecting lines. So, they are vertical angles.

1. For the two angles (\(55^{\circ}\) and \(35^{\circ}\)):

• \(55^{\circ}+35^{\circ}=90^{\circ}\). So, they are complementary.

1. For the two angles (\(40^{\circ}\) and \(140^{\circ}\)):

• \(40^{\circ}+140^{\circ}=180^{\circ}\). So, they are supplementary.

Answer:

1. Supplementary, linear pair
2. Vertical
3. Others
4. Supplementary, linear pair
5. Others
6. Vertical
7. Vertical
8. Complementary
9. Supplementary