SOLUTION: i have to write a two column proof for this problem. Given: Angle UKV and Angle VKW are complements Prove: Angle YKZ and Angle XKY are complements.

Algebra ->  Geometry-proofs -> SOLUTION: i have to write a two column proof for this problem. Given: Angle UKV and Angle VKW are complements Prove: Angle YKZ and Angle XKY are complements.       Log On


   

Question 992647: i have to write a two column proof for this problem.
Given: Angle UKV and Angle VKW are complements
Prove: Angle YKZ and Angle XKY are complements.
Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

(Given) ∠UKV and ∠VKW are complements.

(Definition of complementary angles) m ∠ UKV + m ∠ VKW = 90°

(Congruent vertical angles) ∠UKV ≅ ∠XKY, ∠VKW ≅ ∠YKZ

(Definition of congruent angles) m ∠ UKV = m ∠ XKY, m ∠ VKW = m ∠ YKZ

(Substitution) m ∠ YKZ + m ∠ XKY = 90°

(Definition of complementary angles) ∠YKZ and ∠XKY are complements.

Best,
Farohw