The sum of the three angles forms an angle of 140 degrees, while one of the angles is 2 times
April 16, 2021 | education
| The sum of the three angles forms an angle of 140 degrees, while one of the angles is 2 times the second and 2 times less 3. Determine the value of each of the angles.
Let x ° be the second angle, then (2 * x) ° is the first angle, (4 * x) ° is the third angle.
Let’s make the equation:
2 * x + x + 4 * x = 140;
(2 + 1 + 4) * x = 140;
7 * x = 140;
x = 20;
the second angle is 20 °;
2 * 20 = 40 ° first angle;
4 * 20 = 80 ° third angle;
Answer: 40 °, 20 °, 80 °.
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