One corner of the triangle is 6 times the second and 3 times the third. What are the angles of the triangle.

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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