Question

3 lines are shown. A line with points T, R, W intersects with 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 pair of angles are vertical angles?

Answer 1

∠TRV and ∠WRS or ∠TRS and ∠WRV

Explanation:

Vertical angles are angles that share a vertex and have sides that are opposite rays. That is, the opposites of the rays that form one of the angles are the rays that form the other angle.

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Where lines cross, two pairs of vertical angles are formed. In your diagram, those pairs are ...

∠TRV and ∠WRS . . . . one vertical angle pair

∠TRS and ∠WRV . . . . another vertical angle pair

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Additional comment

In this diagram, the ray RU is of no consequence with respect to any vertical angles. It can be ignored.

The vertical angles will each have one red ray and one blue ray as sides. These rays have end point R. No sides are shared.