Does anyone know this? ive been stuck on it for a bit
line ab is parallel to ef. transversal...
Mathematics, 03.09.2019 02:10 khollier3119
Does anyone know this? ive been stuck on it for a bit
line ab is parallel to ef. transversal gj crosses line ab at k and crosses line ef at l. the measure of angle elj is 120 degrees.
daniel is constructing a fence that consists of parallel sides line ab and line ef. complete the proof to explain how he can show that m∠gkb = 120° by filling in the missing justifications.
statement justification
line ab ∥ line ef
m∠elj = 120° given
m∠elj + m∠elk = 180° linear pair postulate
m∠bkl + m∠gkb = 180° linear pair postulate
m∠elj + m∠elk = m∠bkl + m∠gkb transitive property
∠elk ≅ ∠bkl 1.
m∠elk = m∠bkl 2.
m∠elj + m∠elk = m∠elk + m∠gkb substitution property
m∠elj = m∠gkb subtraction property
m∠gkb = m∠elj symmetric property
m∠gkb = 120° substitution
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