Question 992647

(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