The Triangle Angle Sum Theorem states that the sum of the three 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, we find:
x = 20
To find the measure of the smallest angle, we plug x back into the expression for the smallest angle:
2x = 2*20 = 40
Therefore, the smallest angle in the triangle measures 40 degrees.
The angles of a triangle measure 2x, 3x, and 4x. Using the Triangle Angle Sum Theorum, find the measure of the smallest angle in this triangle.
1 answer