In a triangle, the middle corner is twice the smaller one, and the larger one is three times the smaller one.

In a triangle, the middle corner is twice the smaller one, and the larger one is three times the smaller one. Find the angles of the triangle.

Let us express the value of the smaller of the angles of the triangle, for which we use the variable a.

Therefore, based on the conditions of the task, we can express the value of the average angle in the form of 2a, and the largest angle through 3a.

Since it is known from the properties of this figure that the sum of its angles is 180 °, then we have the opportunity to write down an equation and calculate what each of these angles will be equal to:

a + 2a + 3a = 180;

6a = 180;

a = 30;

2 * 30 = 60;

3 * 30 = 90.

Answer: Smaller 30 °, middle 60 °, larger 90 °