Question

1. consider the following argument.

given: $m\angle abc = m\angle def$ and $m\angle def = 75^\circ$
conclusion: $m\angle abc = 75^\circ$

which of the following properties does this illustrate?
the multiplication property of equality. a
the reflexive property of equality. b
the transitive property of equality. c
the addition property of equality. d
the symmetric property of equality. e

Explanation:

The argument uses the logic that if \(m\angle ABC = m\angle DEF\) and \(m\angle DEF = 75^\circ\), then \(m\angle ABC = 75^\circ\). This matches the transitive property of equality, which states that if \(a = b\) and \(b = c\), then \(a = c\).

Answer:

C. The transitive property of equality.