Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.

Given: ∠A and ∠B are complementary angles. ∠B and ∠C are complementary angles.
Prove: ∠A ≅ ∠C


Statements
Reasons

1. Given


2. Definition of complementary angles


3. Substitution property of equality


4. Subtraction property of equality


5. Angles that have equal measure are congruent.



Answer :

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