In triangle ABC, the outer angle at the vertex C is 124 degrees. Find the value of the angle BAC if the angle ABC = 64 degrees.
| September 29, 2021 | education
The internal angle is 180 ° with the external one.
Therefore, the angle of the BCA in the triangle ABC is 180 ° – 124 ° = 56 °.
All angles in a triangle add up to 180 °.
Therefore, the angle BAC = 180 ° – (ABC + BCA) = 180 ° – (64 ° + 56 °) = 180 ° – 120 ° = 60 °.
Answer: the angle BAC is 60 °.
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