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Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

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User Rolf
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2 Answers

3 votes

Answer:

We are given that angle ABC and ✔ angle DEF are congruent, and that angle GHI and angle DEF are congruent. By the ✔ definition of congruent angles, the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to ✔ the measure of angle GHI.

Explanation:

answered
User Mohammed Falha
by
8.7k points
4 votes

1. Angle DEF

2. Definition of congruent angles

3. The measure of angle GHI

answered
User Jarek Mazur
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7.9k points

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