Two angles of triangle are pie/6 and 2pie/3 radians. What is the measure of the third angle in degrees?

π/6 = 30°

2π/3 = 120°

leaving 180 -120 - 30 or 30° for the third angle

To find the measure of the third angle in degrees, we need to use the fact that the sum of all angles in a triangle is always 180 degrees.

Let's start by converting the given angles from radians to degrees.

1. Convert π/6 radians to degrees:
To convert radians to degrees, we multiply by the conversion factor 180/π.
π/6 * 180/π = 30 degrees

Thus, the first angle is 30 degrees.

2. Convert 2π/3 radians to degrees:
Using the same conversion factor:
2π/3 * 180/π = 120 degrees

So, the second angle is 120 degrees.

Now, we can find the measure of the third angle by subtracting the sum of the first two angles from 180 degrees:
Third angle = 180 - (30 + 120) = 30 degrees

Therefore, the measure of the third angle is 30 degrees.