Final answer:
The correct postulate or theorem for the given statement is the Angle Sum Theorem.
Step-by-step explanation:
The Angle Sum Theorem states that the sum of the measures of the angles in a triangle is always 180 degrees. In the given statement, m∠4 + m∠6 = 180, the sum of angles 4 and 6 is equal to 180 degrees, which satisfies the Angle Sum Theorem.