StatementJustification


line BC is parallel to line EDGiven


m∠ABC = 70° Given


m∠CED = 30° Given


m∠ABC = m∠BEDCorresponding Angles Theorem


m∠BEC + m∠CED = m∠BEDAngle Addition Postulate


(missing)


m∠BEC = 40°Subtraction Property of Equality



A. m∠BEC + 30° =70°; Substitution Property of Equality


B. m∠BEC + 30° = 70°; Addition Property of Equality

StatementJustificationline BC is parallel to line EDGivenmABC 70 GivenmCED 30 GivenmABC mBEDCorresponding Angles TheoremmBEC mCED mBEDAngle Addition Postulate m class=

Respuesta :

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