Question

geometry - proofs with parallel lines and transversals
given: lines d and e are parallel
prove: ( mangle1 = mangle8 )
transitive prop.
( a = b )
( b = c )
( a = c )

1. the transitive property concludes with ( mangle1 = mangle8 ), what are the 2 previous statements that lead to this conclusion?

1 & 2
3 & 4
3 & 5
4 & 6

Explanation:

Step1: Analyze the transitive property

The transitive property states that if \(a = b\) and \(b = c\), then \(a = c\). In this case, \(m\angle1=m\angle6\) (from statement 4) and \(m\angle6 = m\angle8\) (from statement 6).

Step2: Apply the transitive property

By the transitive property, since \(m\angle1=m\angle6\) and \(m\angle6 = m\angle8\), we can conclude \(m\angle1=m\angle8\).

Answer:

4 & 6