In a triangle, the middle of the angles is twice the smallest, and the largest is three times the smallest

In a triangle, the middle of the angles is twice the smallest, and the largest is three times the smallest. Name the smaller angle.

Let the degree measure of the smallest angle in the triangle be x degrees.

The degree measure of the average angle is 2 times greater than the smallest, which means it is:

2 * x = 2x degrees.

The degree measure of the largest angle is 3 times greater than the smallest, which means:

3 * x = 3x degrees.

The sum of all three angles in a triangle is 180 °, let’s compose and solve the equation:

x + 2x + 3x = 180,

6x = 180,

x = 180: 6 = 30 °.

Answer: The degree measure of the smallest angle in a triangle is 30 °.