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
