What is another way to summarize the outcome of this proof?
Given: Line AE intersects RV at point N.
Prove: ZANR and ZVNE are congruent.
STATEMENTS
Line AE intersects RV at point N.
mZANV+mZVNE-180
m/ANV-180-mZVNE
m2ANV+mZANR-180
(180-m2VNE)+mZANR-180
mZANR-m2VNE
ZANR ZVNE
N
REASONS
Given statement.
Definition of linear pair:
These two angles form a linear pair, so their
measures sum to 180 degrees.
Subtraction:
mZVNE is subtracted from both sides of the
equation.
Definition of linear pair:
These two angles also form a linear pair, so their
measures sum to 180 degrees.
Substitution:
Substitution of equivalent form for mZANV from
step 3 of proof.
Simplify:
Simplifying of the equation by subtracting 180 from
both sides and adding mZVNE to both sides.
Definition of congruent angles:
These angles have the same measure, so by
definition, they are congruent.
QED