Given:
m∠ABC = 70 degrees
m∠CED = 30 degrees
Let's determine the correct statement that best completes the missing statement.
m∠ABC and m∠BED are corrsponding angles.
Corresponding angles are that are on the same side or on same relative positions when two parallel lines are crossed by a transversal.
Corresponding angles theorem states that when two parallel lines are cut by a transversal, the coresponding angles are congruent.
Corresponding angles are congreunt angles.
Thus, we have:
m∠ABC = m∠BED
Therefore, the statement that completes the missing statement and justification of the two column proof is:
m∠ABC = m∠BED; Corresponding Angles Theroem
ANSWER:
m∠ABC = m∠BED; Corresponding Angles Theorem