Question: 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

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. mXVZ + mZVY = 180 by the Definition of Supplementary Angles. mZVY + mWVY = 180 by the Definition of Supplementary Angles. Since the sum of mXVZ + mZVY = mZVY + mWVY by the Transitive Property of Equality, mZVY can be subtracted from both sides of the equation because of the Subtraction Property of Equality. Therefore, mXVZ = mWVY and XVZ WVY by the definition of congruent angles. Alternate Interior Angles Theorem Corresponding Angles Theorem Vertical Angles Theorem Same-Side Interior Angles Theorem

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