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alternatives Given: Angle 2 and angle 4 are vertical angles. RP ≅ MN, PQ ≅ NQ and Q R ≅ QM. Vertical Angles are congruent. That gives you four angles, let's call them A, B, C, D (where A is next to B and D, B is next to A and C and so on). … The Theorem The Vertical Angles Theorem states that the opposite (vertical) angles of two intersecting lines are congruent. Note: A vertical angle and its adjacent angle is supplementary to each other. Vertical angles are congruent. Opposite angles are congruent. Angles & Proofs (proofs (congruent supplement theorom (If angle5 is…: Angles & Proofs ... vertical angles are always congruents. Vertical angles are two angles that share a common vertex that are formed by two lines (or line segments.) If BE is congruent to DA then BC is congruent to CD because C is also the midpoint of AD. Given: PR and QS bisect each other at T Prove: ∠≅∠PR c. 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