The angles of a triangle are in the ratio of 2:3:4. Find the size of each angle.
Let the angles of the triangle be 2x, 3x, and 4x, where x is a constant.
Since the sum of the angles of a triangle is 180 degrees, we have:
2x + 3x + 4x = 180
9x = 180
x = 20
So, the angles are:
2x = 2(20) = 40 degrees
3x = 3(20) = 60 degrees
4x = 4(20) = 80 degrees
Therefore, the sizes of the angles are 40 degrees, 60 degrees, and 80 degrees.