In addition to the congruent supplements theorem and cpctc, what else is needed to justify the conclusion that ∠ptq ≅ ∠rtq by sas? given: ∆pst ≅ ∆rst the reflexive property of congruence the vertical angles theorem aas theorem sss postulate description

Given

Whenever we have a congruence between triangles, we can automatically conclude several congruence between their corresponding parts, that is called Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

To determine the proper congruence with CPCTC, we need to respect the position of each vertex of the congruence expression, because the same positions indicates congruence.

In this case, to demonstrate we must use the following equivalence

But, by supplementary angles, we have

and

As you can observe, these equations are congruent.

Using the congruente:

Therefore, the congrence between the given angles is true.

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