Question

1. which of the angles in the picture are vertical angles?

none of the angle pairs are vertical.
angles 1 and 2 are vertical angles.
angles 2 and 3 are vertical angles.
angles 1 and 3 are vertical angles.

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines.

Step2: Analyze each option

• Angles 1 and 2: They are adjacent, so they are not vertical angles.
• Angles 2 and 3: They are adjacent, so they are not vertical angles.
• Angles 1 and 3: They are non - adjacent and formed by the intersection of two lines. But wait, no, actually, in the given figure, there is no two - line intersection that would make them vertical.
• None of the angle pairs meet the criteria of vertical angles (non - adjacent and formed by two intersecting lines).

Answer:

None of the angle pairs are vertical.