The angles are triangle measure 2X3X and 4X using the triangle angle sum THEOREN find the measure of the smallest angle in this triangle

Answer 1

The sum of the angles in a triangle is always 180 degrees. So, we can set up an equation based on this information:

2X + 3X + 4X = 180

Combining like terms, we get:

9X = 180

Dividing both sides by 9, we get:

X = 20

Now that we have found the value of X, we can substitute it back into the expressions for the angles:

The smallest angle is 2X, so:

2(20) = 40 degrees

Therefore, the smallest angle in this triangle measures 40 degrees.