According to the Triangle Sum Theorem, 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, we get:
9x = 180
Dividing by 9 on both sides, we find:
x = 20
Now, we can substitute x back into the expressions for the angles to find their measures:
2x = 2(20) = 40 degrees
3x = 3(20) = 60 degrees
4x = 4(20) = 80 degrees
Therefore, the smallest angle in the triangle measures 40 degrees.
the angles of a triangle measure 2x, 3x, and 4x. Using the Triangle Sum Theorem, find the measure of the smallest angle in this triangle.
1 answer