In triangle ABC, the angle at the vertex A is 55 degrees, AB = BC. find the angle at vertex B.

If in a triangle the two sides are equal, then this triangle is isosceles. In an isosceles triangle, the angles at the base are also equal:

∠А = ∠С = 55º.

Since the sum of all the angles of the triangle is 180º, the degree measure of the angle ∠В is equal to:

∠В = 180º – 55º – 55º = 70º.

Answer: the degree measure of the angle ∠B is equal to 70º.



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