Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.