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Answer:

If the angles of a triangle are in the ratio 1:2:3, we can let the measures of the angles be x, 2x, and 3x (where x is a constant).

The sum of the angles in a triangle is always 180 degrees.

Therefore, we have:

x + 2x + 3x = 180

6x = 180

Dividing both sides by 6, we get:

x = 30

So, the measure of angle P is x = 30 degrees, the measure of angle Q is 2x = 60 degrees, and the measure of angle R is 3x = 90 degrees.