When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle it means that we are going to use what postulate?.

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When two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in AAS or ASA congruency.

What is SAS congruency?

The Angle-Side-Angle Postulate (ASA) states that two triangles are congruent if their two included sides and two included angles are congruent.

And we show that triangles ABC and DEF are congruent by applying the Angle-Side-Angle Postulate, as seen in the image to the right.

AAS Congruency: In contrast, two triangles are congruent if their respective non-included sides are congruent with two angles from one triangle and two angles from another, according to the Angle-Angle-Side Postulate (AAS).

The triangles ABC and QPR are also shown to be congruent using the Angle-Angle-Side Postulate, as seen in the illustration to the right.

Therefore, when two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in ASA or AAS congruency.

Know more about SAS congruency here:

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