Answer: options b and c
Explanation:
∠ACD is supplementary to ∠ACE given
∠ACD is supplementary to ∠BCD given
⇒ ∠ACE is supplementary to ∠BCD transitive property
∠ACD ≅ ∠BCE given
⇒ ∠BCE is supplementary to ∠ACE substitution
and ∠BCE is supplementary to ∠BCD substitution
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multiple choice options:
a) ∠ACE is supplementary to ∠BCD False
b) ∠BCE is supplementary to ∠ACE TRUE
c) ∠BCD is supplementary to ∠BCE TRUE
d) ∠ACE ≅ ∠BCE False
e) ∠BCD ≅ ∠ACE False