Mathematics, 21.11.2019 05:31 ghari112345
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
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