ing.com/public/activity/1000001/assessment2 Pretest: Unit 1What is the missing reason for the 4th step in the proof below?Given: Line AE intersects RV at point N.Prove: Vertical angles ZANR and ZVNE are congruent.ESTATEMENTSREASONSGiven statementLine AE intersects RV at point N.mZANV+mZVNE-180Definition of linear pair:These two angles form a linear pair, so theirmeasures sum to 180 degrees.mZANV-180-mZVNESubtraction:mZVNE is subtracted from both sides of theequation.mZANV+mZANR=180?(180-mZVNE)+mZANR=180Substitution:Substitution of equivalent form for mZANV fromstep 3 of proof.m2ANR-m2VNESimplify:Simplifying of the equation by subtracting 180 fromboth sides and adding mZVNE to both sides.LAND ZYNEDefinitie
