Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°.
Use the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle.
2x + 4x + 6x = 180
12x = 180
x = 15
Now, plug x back into the expressions to find the measures of the angles:
2(15) = 30
4(15) = 60
6(15) = 90
Therefore, the angles in the triangle are 30°, 60°, and 90°.