Question

What is the next step in the given proof? Choose the most logical approach.

Answer 1

Given: 1 and 2 are both complementary to 3.

Prove: 1 2

Proof:
Statement Reason
1. 1 and 2 are both complementary to 3. given
2. m1 + m3 = 90°
m2 + m3 = 90° definition of complementary angles
3.

Answer 2

answer choices :: Statement: m 1 + m 2 + 2(m 3) = 180°
Reason: angle addition
Statement: m 1 + m 3 = m 2 + m 3
Reason: Transitive Property of Equality
Statement: m 1 = m 2
Reason: Subtraction Property of Equality
Statement: m 1 + m 2 = m 2 + m 3
Reason: Substitution Property of Equality
Statement: 2(m 1) = m 2 + m 3
Reason: Substitution Property of Equality

Answer 3

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Answer 4

3.Statement: m 1 + m 3 = m 2 + m 3
Reason: Transitive Property of Equality

4.Statement: m 1 = m 2
Reason: Subtraction Property of Equality