Question

what is the missing justification?
\\( \angle a \cong \angle b, \angle c \cong \angle b \\) given
\\( \angle b \cong \angle c \\) symmetric prop
\\( \angle a \cong \angle c \\) ?
\\( m \angle a = m \angle c \\) def of \\( \cong \angle s \\)
o transitive property
o reflexive property
o symmetric property
o substitution property

Explanation:

Step1: Recall properties of equality

The transitive property of equality states that if \(a = b\) and \(b = c\), then \(a = c\). In the case of congruent angles, if \(\angle A\cong\angle B\) and \(\angle B\cong\angle C\), then \(\angle A\cong\angle C\) by the transitive property.
The reflexive property states that \(a=a\) (for an angle \(\angle A\cong\angle A\)). The symmetric property states that if \(a = b\), then \(b=a\) (for angles, if \(\angle A\cong\angle B\), then \(\angle B\cong\angle A\)). The substitution property is more about substituting a value for a variable (e.g., if \(x = y\) and \(y+z = w\), then \(x + z=w\)).

Answer:

transitive property