It is given that ∠eij ≅ ∠gji.
also, ∠eij ≅ ∠ikl and ∠gji ≅∠jlk, as they are correspondi...
Mathematics, 28.11.2019 19:31 reginaldboyd28
It is given that ∠eij ≅ ∠gji.
also, ∠eij ≅ ∠ikl and ∠gji ≅∠jlk, as they are corresponding angles for parallel lines cut by a transversal. by the definition of congruent angles, m ∠eij = m ∠gji, m ∠ikl, and m ∠gji = m ∠jlk. so, m ∠ikl = m ∠jlk by the (1.) angle jlk and ∠jld are supplementary angles by the (2.) so m ∠jlk + m ∠jld = 180 degrees. by the (3.) m ∠ikl + m ∠jld = 180 degrees. therefore, ∠ikl and ∠jld are supplementary angles by definition.
options for number one:
a. substitution property of equality
b. symmetric property of equality
c. subtraction property of equality
options for number two:
a. linear pair theorem
b. vertical angles theorem
c. congruent supplements theorem
options for number three:
a. substation property of equality
b. division property of equality
c. reflexive property of equality
Answers: 3
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