Name the Property of Congruence that justifies this statement: m¡ÏA + m¡ÏB = m¡ÏC, then m¡ÏA = m¡ÏC ¨C m¡ÏB

Transitive Property
Symmetric Property
Reflexive Property
none of these

I can't get the symbols to work so ignore the question.

Many people use m<A to mean "measure of angle A"

Also <= or >= for less/greater than or equal

I really appreciate your help with the symbol meaning. I will use it from now on. You have always been a great help.

The property of congruence that justifies the statement is the Symmetric Property.

To understand why, let's break down the options:

- The Transitive Property states that if A is congruent to B and B is congruent to C, then A is congruent to C. However, the given statement does not involve three different angles or sides, so the Transitive Property is not applicable here.

- The Reflexive Property states that any angle or side is congruent to itself. Again, the given statement does not involve a single angle or side being congruent to itself, so the Reflexive Property is not applicable here either.

- The Symmetric Property states that if A is congruent to B, then B is congruent to A. In the given statement, it states that m∠A + m∠B = m∠C. By applying the Symmetric Property, we can say that if m∠A + m∠B = m∠C, then m∠C = m∠A + m∠B. This directly translates to m∠A = m∠C – m∠B, which is the same as m∠A = m∠C – m∠B.

Therefore, the Symmetric Property is the correct justification for the given statement: m∠A + m∠B = m∠C, then m∠A = m∠C – m∠B.