In a triangle, one angle is 2 times less than the other and 3 times less than the third, calculate the measure of these angles.

It is known that the sum of the angles in a triangle is 180 °.

Let’s take for x – the smallest angle of the triangle.

Then, the second angle can be written as 2x. The third angle is 3 times larger, so we will write it as 3x.

Let’s compose an equation to solve the problem:

x + 2x + 3x = 180.

6x = 180.

x = 180: 6 = 30 ° – the value of the first angle.

Determine the value of the second angle:

2x = 2 * 30 = 60 °.

Determine the value of the third angle:

3x = 3 * 30 = 90 °.

Answer: The angles in this triangle are 30, 60 and 90 degrees.