Find the angles of a triangle, knowing that the outer angles at two of its vertices are 120 and 150 degrees.
| July 18, 2021 | education
The sum of the degree measures of the angle of the triangle and the adjacent external angle is 180 °.
The angle of a triangle adjacent to an external angle of 120 ° is 180 – 120 = 60 °.
The angle of a triangle adjacent to an outer angle of 150 ° is 180 – 150 = 30 °.
The sum of the angles of the triangle is 180 °, so the third angle is 180 – 60 – 30 = 90 °.
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