In a triangle, one angle is twice the measure of the second angle. The third angle is three times the measure of the second angle. Find the measure of eah angle.

Since the angles are all compared to the second angle, let x (also known as 1x)= 2nd angle; therefore first angle which is twice the second = 2x and the third angle which is three times the second = 3x. All angles of a triangle have a sum of 180 degrees.

1x + 2x + 3x = 180
now combine like terms and equation solve for x.

To find the measures of the angles in the triangle, let's first represent the measure of the second angle as "x".

According to the given information:
- One angle is twice the measure of the second angle. Therefore, the first angle can be represented as 2x.
- The third angle is three times the measure of the second angle. Thus, the third angle can be represented as 3x.

In any triangle, the sum of the angles is always 180 degrees. Therefore, we can write the equation:

x + 2x + 3x = 180

Simplifying the equation:

6x = 180

Dividing both sides by 6:

x = 30

Now that we have found the value of x, we can determine the measure of each angle:

The first angle: 2x = 2 * 30 = 60 degrees
The second angle: x = 30 degrees
The third angle: 3x = 3 * 30 = 90 degrees

Therefore, the measures of the angles in the triangle are 60 degrees, 30 degrees, and 90 degrees.