Question

29 points to whoever gets this right :) needs to be answered asap

The angles of a triangle measure 2x, 3x, and 4x. Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle.

Answer 1

The Triangle Angle Sum Theorem states that the sum of the measures of the angles in a triangle is 180 degrees. So, we can write an equation:

2x + 3x + 4x = 180

Simplifying the left side, we get:

9x = 180

Dividing both sides by 9, we get:

x = 20

Now we can find the measure of each angle by substituting x = 20:

Smallest angle = 2x = 2(20) = 40 degrees

Middle angle = 3x = 3(20) = 60 degrees

Largest angle = 4x = 4(20) = 80 degrees

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

Answer 2

The sum of the angles in any triangle is 180 degrees, so we have:

2x + 3x + 4x = 180

Simplifying, we get:

9x = 180

Dividing by 9, we get:

x = 20

Therefore, the angles of the triangle are:

2x = 40 degrees

3x = 60 degrees

4x = 80 degrees

So the smallest angle in the triangle is 40 degrees.

Explanation: