Question

given: ( m parallel n ) and ( p ) is a transversal
prove: ( mangle 2=mangle 7 )
what is the missing reason in the proof?

Explanation:

Step1: Recall the transitive property of equality

The transitive property of equality states that if \(a = b\) and \(b = c\), then \(a = c\).

Step2: Apply the transitive property to the given angles

We know from step 3 that \(m\angle2=m\angle3\) and from step 5 that \(m\angle3 = m\angle7\).
By the transitive property of equality, if \(m\angle2=m\angle3\) and \(m\angle3 = m\angle7\), then \(m\angle2=m\angle7\).

Answer:

transitive property of equality