Question

GIVEN ∠ABC ≅ ∠DEF ∠GHI ≅ ∠DEF m∠ABC=m∠GHI

Answer 1

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)

Learn more on Substitution property of equality here: brainly.com/question/2279838

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