Daniel is constructing a fence that consists of parallel sides ab and ef. complete the proof to explain how he can show that m_gkb = 120° by filling in the missin
justifications
statement
justification
ab ef
mzelj = 120
given
m_elj + mzelk = 180°
linear pair postulate
m2bkl + m2gkb = 180°
linear pair postulate
mzelj+mzelk= m_bkl + mzgkb transitive property
lelk bkl
melk = m_bkl
mzelj + mzelk=mzelk + m_gkb substitution property
mcelj = m_gkb
subtraction property
mgkb = m_elj
symmetric property
mzgkb = 120
substitution
1. alternate interior angles theorem: 2 definition of congruence
1. alternate exterior angles theorem, 2. substitution property
01 definition of congruence 2. alternate interior angles theorem
1 substitution property 2. alternate exterior angles theorem