Two-Step Column Proofs.

See below.

Step-by-step explanation:

1. m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

2. m∠4 + m∠5 = 180

Reason: m∠4 = 120 & m∠5 = 60. 120 + 60 = 180

3. m∠4 + m∠5 = 180 = m∠4 + m∠6

Reason: m∠4 = 120. m∠5 & m∠6 = 60. 120 + 60 = 180

4. m∠4 = m∠4

Reason: 120 = 120. No difference between
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m∠5 = m∠6

Reason: the type of triangle that we’re looking at is a equilateral triangle meaning all angle measures measure the exact same thing. If one measure measures 60, the other measure measures 60.

m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

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