Question

Match the reasons with the statements to complete the proof for theorem 3-6, subtraction property of equality, given that angles 2,3 and angles 1,3 are complementary.


Given:

∠2 and ∠3 are complementary
∠1 and ∠3 are complementary

Prove: m∠1 = m∠2
1.
4
Subtraction Property of Equality
2.
3
Substitution
3. m∠1 + m∠3 = m∠2 + m∠3
2
Given
4. m∠1 = m∠2
1
Definition of Complementary Angles