One corner of the triangle is 6 times the second and 3 times the third. What are the angles of the triangle.
July 19, 2021 | education
| The angles of any triangle add up to 180 degrees.
Let’s say the largest angle is 1.
In this case, an angle that is 6 times smaller will be: 1/6 of the first angle.
An angle that is 3 times smaller will be equal to: 1/3 of the first angle.
The sum of all angles will be:
1 + 1/6 + 1/3 = 180.
1 + 3/6 = 180.
1 1/2 = 180.
Thus, the largest angle will be:
180/1 1/2 = 180 * 2/3 = 360/3 = 120 degrees.
The second angle will be:
120 * 1/3 = 120/3 = 40 degrees.
Third corner:
120 * 1/6 = 120/6 = 20 degrees.
Answer: 120, 20 and 40 degrees.
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