Answer:
30, 70 and 80 degrees. or
π/6, 7π/18 and 4π/9 radians.
Explanation:
There are 180 degrees in a triangle.
The ratio of the angles is 3 : 7 : 8
The number of parts = 3+7+8 = 18.
So the smallest angle = (3/18) * 180 = 3 * 10 =30 degrees
The other 2 angles are 7/18 * 180 = 7 * 10 =70 degrees.
and 8/18 * 180 = 8 * 10 = 80 degrees.
Converting to radians:
30 = 30 *π/180 = π/6 radians
70 = 70 * π/180 = 7π/18 radians.
80 = 80 * π/180 = 4π/9.