Part B
Complete the proof of the vertical angles theorem.
Given: Lines AB and CD intersect at point E.
Prove: Angle AED is congruent to angle BEC.
Enter the missing statements and reasons in the table.
BIVX¹ X₂ 14pt
Statement
ZAED and ZDEB are a linear pair.
A
m2DEB+m
mZAED+ m2DEB=mZDEB + m2BEC
Reason
given
Linear pairs are supplementary.
definition of linear pair
Linear pairs are supplementary.
subtraction property of equality
definition of congruency
V