Question

what is true about the angles in the figure below? select all that apply. (not drawn to scale.)

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other.

Step2: Identify vertical - angle pairs

In the given figure where two lines intersect inside the circle, ∠1 and ∠4 are opposite each other, and ∠2 and ∠3 are opposite each other. So, ∠1 and ∠4 are vertical angles, and ∠2 and ∠3 are vertical angles. There is no such thing as "adjacentary" (it's likely a mis - word; adjacent angles share a side and a vertex, which is not the case here for the given pairs in the options). Also, the term "vertical" here refers to the geometric concept of vertical angles, not an orientation like up - down.

Answer:

• ∠1 and ∠4 are vertical angles
• ∠2 and ∠4 are vertical angles