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.

This equation represents the sum of the angles in the triangle:

2x + 4x + 6x = 180°
12x = 180°
x = 15°

Now, we can find the measures of the angles in the triangle by substituting x back into the expressions:

2(15) = 30°
4(15) = 60°
6(15) = 90°

Therefore, the measures of the angles in the triangle are 30°, 60°, and 90°.