If the angles of a triangle are in ratio 2:3:7 find the measure of all the angles of the triangle

The sum of all angles of a triangle is 180 grades (or Pi radians).

The angles are in ratio 2:3:7, this means that by naming an angle X we will have:

2*X + 3*X + 7*X = 180

so, 12*X = 180 = > X=15

The first angle is 2 * X = 30 grades

The second angle is 3*X = 45 grades

The last angle is 7*X=105 grades