Shariff if I triangle measures 2×3 times and four times using the triangle angle sum theorem what would be the measurement of the smallest angle in this triangle

The sum of the interior angles in a triangle is equal to 180 degrees. If one angle measures 2 times, another angle measures 3 times, and the third angle measures 4 times, the total sum of the angles would be:

2x + 3x + 4x = 180
9x = 180
x = 20

Therefore, the angles would measure:
2(20) = 40 degrees
3(20) = 60 degrees
4(20) = 80 degrees

The smallest angle in this triangle would measure 40 degrees.