The measures of the interior angles of a triangle are in the ratio 1:2:3.

what is the measure of the smallest angle of the triangle is?

x + 2x + 3x = 180, X = 30o = the Smallest.

To find the measure of the smallest angle of the triangle, we need to determine the common ratio between the measures of the angles. We are given that the measures of the interior angles are in the ratio 1:2:3.

Let's assume that the measures of the angles are x, 2x, and 3x, where x is the common ratio.

Since the sum of the interior angles of a triangle is always 180 degrees, we can set up the following equation:

x + 2x + 3x = 180

Combining like terms, we get:

6x = 180

Now, we can solve for x by dividing both sides of the equation by 6:

x = 30

Therefore, the smallest angle of the triangle is x = 30 degrees.