Given: <2 and <4 are vertical angles.
Prove: <2 ≅ <4

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Hello! Remember you have to write complete questions in order to get good and exact answers. Here I could help you in a general way. Vertical Angles are those angles on opposite sides of intersecting lines They takes this name because they have the same vertex, or corner, at the intersection.

Vertical angles are always congruent, so this implies that they always have the same measure. From the figure below, we know that ∠1 and ∠3 are vertical and ∠2 and ∠4 are also vertical, therefore:

∠2 ≅ ∠4

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