One of the angles of the triangle is 108 degrees, the other is 3 times less. find the values of the second
March 8, 2021 | education
| One of the angles of the triangle is 108 degrees, the other is 3 times less. find the values of the second and third angles of the rectangle?
If the first angle of the triangle is 108 °, then the second angle is (108: 3) ° (if it is … times less, then we must divide), and the third angle is not known to us, we will take it for x °. According to the theorem on the sum of the angles of a triangle: The sum of the angles of a triangle is 180 ° or (108 + 108: 3 + x) °. Let’s make an equation and solve it.
108 + 108: 3 + x = 180;
108 + 36 + x = 180;
144 + x = 180;
x = 180 – 144;
x = 36 ° – third angle;
second angle 108 °: 3 = 36 °.
Answer. The second and third angles are 36 ° and 36 °.
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