line ab is parallel to ef. transversal gj crosses line ab at k and crosses line ef at l. the measure of angle klf is 116 degrees.

missy is constructing a fence that consists of parallel sides line ab and line ef. complete the proof to explain how she can show that m∠akl = 116° by filling in the missing justifications.

statement justification
line ab ∥ line ef
m∠klf = 116° given
m∠klf+ m∠bkl = 180° 1.
m∠bkl + m∠akl = 180° linear pair postulate
m∠klf + m∠bkl = m∠bkl + m∠akl 2.
m∠klf = m∠akl subtraction property
m∠akl = m∠klf symmetric property
m∠akl = 116° substitution property
1. alternate interior angles theorem; 2. substitution property
1. definition of complementary angles; 2. substitution property
1. definition of supplementary angles; 2. transitive property
1. same-side interior angles theorem; 2. transitive property