Question

WILL GIVE BRAINILEST! Examine the paragraph proof. Which theorem does it offer proof for? lines WZ and XY intersect at point V Prove: ∠XVZ ≅ ∠WVY We are given an image of line WZ and line XY, which intersect at point V. m∠XVZ + m∠ZVY = 180° by the Definition of Supplementary Angles. m∠ZVY + m∠WVY = 180° by the Definition of Supplementary Angles. Since the sum of m∠XVZ + m∠ZVY = m∠ZVY + m∠WVY by the Transitive Property of Equality, m∠ZVY can be subtracted from both sides of the equation because of the Subtraction Property of Equality. Therefore, m∠XVZ = m∠WVY and ∠XVZ ≅ ∠WVY by the definition of congruent angles. Alternate Interior Angles Theorem Corresponding Angles Theorem Vertical Angles Theorem Same-Side Interior Angles Theorem

Answer 1

Answer:

Vertical Angles Theorem

Step-by-step explanation:

Vertical angles have two sets of congruent angles; the angle acrooss the other are congruent to each other.

Also, I took the test and got it right. Hope this helps!!

Answer 2

Answer:

vertical angles theorem

Step-by-step explanation: