The triangles of a triangle measure 2x 3x and 4x using the Triangle Sum Theorem find the measure of the smallest angle in this triangle

Answer 1

The Triangle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

Therefore, we can set up the equation:
2x + 3x + 4x = 180

Combining like terms:
9x = 180

Dividing both sides by 9:
x = 20

Now we can find the measures of the angles:
2x = 2(20) = 40
3x = 3(20) = 60
4x = 4(20) = 80

So, the angles of the triangle are 40 degrees, 60 degrees, and 80 degrees. The smallest angle measures 40 degrees.