Question

4 lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W. Which is a pair of vertical angles?

Answer 1

The vertical angles in the described scenario are the pairs ∡TRW and ∡SRV, and ∡TRU and ∡VRU.

Step-by-step explanation:

Vertical angles are pairs of opposite angles made by two intersecting lines. They are congruent, meaning they have the same angle measure. In the given geometry problem, the lines intersecting at point R create several angles. The pair of vertical angles are the angles on opposite sides of the intersection, not adjacent. Therefore, the pair of vertical angles in this scenario would be ∡TRW and ∡SRV, as well as ∡TRU and ∡VRU.