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The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
In an equilateral trianger, each angle is 60 degrees. In all triangles, including equilateral triangles, all 3 angles add up to 180 degrees.(the above assumes Euclidean - flat - space. In Hyperbolic space there are less than 180° in all triangles; in Spherical space more than 180° in all triangles)
only right tringles or HL triangles have at least 1 right angle
All right angle triangles have a 90 degree angle and two acute angles that add up to 90 degrees
No it can only be used with right angle triangles.