ABC is an equilateral triangle, A straight line is drawn through vertex B of this triangle parallel to side AC.
| August 14, 2021 | education
ABC is an equilateral triangle, A straight line is drawn through vertex B of this triangle parallel to side AC. How many angles are formed at vertex B? Find each of the angles at vertex B.
As a result, we see two parallel lines crossed by sides AB and CB.
At point B, three angles are formed, one of which is ABC. The second angle is formed by the intersection of the parallel sides AB and is equal to the angle BAC. The third angle is formed by the BC side and is equal to the ACB angle.
Since in an equilateral triangle all angles are equal to 60 °, then the angles at point B are equal to 60 °, which corresponds to the expanded angle formed at point B, equal to 180 °.
Answer: At the vertex B, three angles of 60 ° each were formed.
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