Kate is proving the theorem that says that vertical angles are congruent. Which theorem or property correctly completes kates proof?

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°