Question

due on 11.03.2025 10 total points 2 total attempts
answer the question correctly to continue:
which pair of angles are vertical
angles?
∠1 and ∠2
(adjacent)
∠2 and ∠3 (not
opposite)
∠1 and ∠3
(opposite each
other)
∠1 and ∠4 (not
adjacent)
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Explanation:

Step1: Recall the definition of vertical angles

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

Step2: Analyze each option

• For $\angle1$ and $\angle2$: They are adjacent, so not vertical angles.
• For $\angle2$ and $\angle3$: They are not opposite each other, so not vertical angles.
• For $\angle1$ and $\angle3$: They are opposite each other (by the definition of vertical angles when two lines intersect), so they are vertical angles.
• For $\angle1$ and $\angle4$: They are not adjacent but also not formed as opposite angles by the intersection of two lines in the correct sense (assuming a standard angle - intersection scenario), so not vertical angles.

Answer:

$\angle1$ and $\angle3$ (opposite each other)