In one isosceles triangle, the angle at the apex is 94 degrees, and in the other early-femoral triangle

In one isosceles triangle, the angle at the apex is 94 degrees, and in the other early-femoral triangle, the angle at the base is 43 degrees. Are these triangles similar and why?

The ABC triangle is isosceles, then its angles at the base of the AC are equal.

Angle BAC = BCA = (180 – ABC) / 2 = (180 – 94) / 2 = 86/2 = 43.

In triangle A1B1C1, the angle B1A1C1, by condition, is equal to 43, then the angle B1C1A1 = 430, and therefore, isosceles triangles ABC and A1B1C1 are similar in two angles, the first sign of similarity of triangles.

Answer: Triangles are similar in two corners.



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