By the substitution property of equality, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
Substitution property of equality
The substitution property of equality states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation
From the given information, we have that
∠ABC ≅ ∠DEF
and
∠GHI ≅ ∠DEF
By the substitution property, ∠ABC can be substituted for ∠DEF in the second equation
That is,
∠GHI ≅ ∠ABC
∴ ∠ABC ≅ ∠GHI
Hence, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
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