Question

If two triangles have their corresponding angles equal, are they always congruent? If not, draw two triangles which are not congruent but have their corresponding angles equal.-

Answer 1

Answer:

No, they are not always congruent Because one side should be needed to say the congruence of triangles if the angles are congruent the triangles may be similar but not congruent .

And you also know that there is no AAA congruence rule.

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Answer 2

If two triangle have their corresponding angles equal, they are not always congruent.

Step-by-step explanation:

Let two triangles ABC and DEF

According to question

Angle A=Angle D, Angle B=Angle E

Angle C=Angle F

Congruent triangles: When all angles and all sides of one triangle are equal  to its  corresponding angles and sides of other triangle .Then, the two triangles are congruent.

If two triangle have their corresponding angles are equal then, it is not necessary that they always congruent.

Two triangles are congruent when two triangles have their corresponding sides and corresponding angles are equal .

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