Question

Please help
Look at the figure shown below.
http://assets.openstudy.com/updates/attachments/4fea13b2e4b0bbec5cfa29bb-nikee-1340740616293-mathhhhhh.jpg
A student made the table below to show the steps to prove that DC is equal to EC.

Statements Justifications
1.AC = BC
Given
2.m∡EAC = m∡DBC
Given
3.m∡ACD = m∡BCE
Given
4.m∡ACE = m∡ACD + m∡DCE
Angle Addition Postulate
5.m∡BCD = m∡BCE + m∡DCE
Angle Addition Postulate
6.m∡BCD = m∡ACD + m∡DCE
Substitution
7.
8.triangleDBC≅ triangleEAC
ASA postulate
9.DC = EC
CPCTC

Answer 1

@Jhannybean

Answer 2

Substitution
\(7.~ m\measuredangle BCD= m\measuredangle ACE\)