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Given ∠1 and ∠2 are complementary, ∠1 and ∠3 are complementary. Prove ∠2 ≅ ∠3.

1. Given ∠1 and ∠2 are complementary, ∠1 and ∠3 are complementary. Prove ∠2 ≅ ∠3.

Answer

  1. Statements:

    1. ∠1 and ∠2 are complementary.
    2. ∠1 and ∠3 are complementary.
    3. m∠1 + m∠2 = m∠1 + m∠3
    4. m∠2 = m∠3
    5. ∠2 ≅ ∠3

    Reasons:

    1. Given
    2. Given
    3. Definition of Complementary Angles
    4. Subtraction Property of Equality
    5. Definition of Congruent Angles

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