The angles of the triangle are proportional to the numbers 2,3,4. Find all the corners of the triangle.
May 28, 2021 | education
| We enter the coefficient of proportionality a, then the angles of the given triangle by the condition are equal: 2a, 3a, 4a. We make an equation, knowing that the sum of the angles of a triangle is 180 °.
2a + 3a + 4a = 180
9a = 180
a = 20
2 * 20 = 40 °;
3 * 20 = 60 °;
4 * 20 = 80 °.
Answer: the angles of a triangle have degree measures: 40 °, 60 °, 80 °.
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