Is there a triangle with angles of 60, 70, 80 degrees.
June 20, 2021 | education
| Let us take advantage of the fact that in any triangle the sum of the magnitudes of all its three sides is always 180 °.
Therefore, if the sum of the values of three angles is either greater than 180 ° or less than 180 °, then a triangle with such three angles cannot exist.
In the initial data for this task, it is reported that the values of these three angles are 60 °, 70 ° and 80 °, respectively.
Let’s find the sum of these values:
60 + 70 + 80 = 130 + 80 = 210 °.
Since the sum of these three angles is greater than 180 °, a triangle with such angles does not exist.
Answer: a triangle with such angles does not exist.
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