What reason can be used to complete this proof?
m∠1 = m∠3 because ∠1 ∼= ∠3.
m∠1 + m∠2 = m∠CXB and m∠2 + m∠3 = m∠AXD ________.
m∠1 + m∠2 = m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB = m∠AXD by the transitive property of equality.
So, ∠AXD ∼= ∠CXB.
because that is given information
because you can measure them with a protractor
by the angle addition postulate
because m∠CXB = m∠AXD
The correct reason to complete the proof is: m∠CXB = m∠AXD by the transitive property of equality.
Explanation: The transitive property of equality states that if two quantities are both equal to a third quantity, then they are equal to each other. In this proof, since ( m∠1 + m∠2 ) equals ( m∠CXB ) and ( m∠1 + m∠2 ) also equals ( m∠AXD ), we can conclude that ( m∠CXB = m∠AXD ). Great job on working through the angles! If you have more questions, feel free to ask!