the angles of a triangles measures 2x 3x and 4x using the triangle angle sum theorem, find the measure of the smallest angle in this triagle

Answer 1

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 both sides by 9, we get:

x = 20

Now, we can find the measure of the smallest angle which is represented by 2x:

2(20) = 40

Therefore, the measure of the smallest angle in this triangle is 40 degrees.