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
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.