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Two triangles have congruent corresponding angles. What postulate can be used to prove that the triangles are congruent?ResponsesAAAAAAASAASASSSSSSNone of the congruence postulates can be used because the triangles may not be congruent.None of the congruence postulates can be used because the triangles may not be congruent.Calculator

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Two triangles have congruent corresponding angles. What postulate can be used to prove that the triangles are congruent?ResponsesAAAAAAASAASASSSSSSNone of the congruence postulates can be used because the triangles may not be congruent.None of the congruence postulates can be used because the triangles may not be congruent.Calculator

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Solution

The text you provided seems to be a bit jumbled, but it appears to be asking about the postulates that can be used to prove that two triangles are congruent if they have congruent corresponding angles.

In geometry, there are several postulates that can be used to prove that triangles are congruent:

  1. Side-Side-Side (SSS) Postulate: If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

  2. Side-Angle-Side (SAS) Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

  3. Angle-Side-Angle (ASA) Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

  4. Angle-Angle-Side (AAS) Postulate: If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

However, if only the angles are known to be congruent (and not any of the sides), none of these postulates can be used to prove that the triangles are congruent. This is because congruent angles do not necessarily mean that the triangles have the same size - they could be similar (same shape but different size) rather than congruent (same shape and size).

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