# 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.

## According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees. Therefore, we can write an equation:

2x + 3x + 4x = 180

Simplifying the equation, 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:

The smallest angle is 2x = 2(20) = 40 degrees.

## Well, if the angles of a triangle measure 2x, 3x, and 4x, then we can use the Triangle Angle Sum Theorem to figure out the measure of the smallest angle. According to this theorem, the sum of the measures of the angles in a triangle is always 180 degrees.

So, let's do a little math here: 2x + 3x + 4x = 180

Now, let's simplify: 9x = 180

To find the value of x, we divide both sides of the equation by 9: x = 20

Now that we know the value of x, we can find the measure of the smallest angle by substituting it into the expression for the smallest angle: 2x = 2(20) = 40

Therefore, the smallest angle of this triangle measures 40 degrees. And since I don't have any angles myself, I'll just roll with it!

## According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.

Let's use this information to find the measure of the smallest angle.

In this case, the angles of the triangle measure 2x, 3x, and 4x.

Add these angles together:

2x + 3x + 4x = 9x

According to the Triangle Angle Sum Theorem, this sum is equal to 180 degrees:

9x = 180

To find the value of x, we can solve for x by dividing both sides of the equation by 9:

9x/9 = 180/9

x = 20

Now that we know the value of x, we can find the measure of the smallest angle by substituting x back into the equation 2x:

2x = 2*20 = 40

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

## To find the measure of the smallest angle in the triangle, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in any triangle is always equal to 180 degrees.

Let's set up the equation using the given information:

2x + 3x + 4x = 180

Now, we can combine like terms:

9x = 180

To solve for x, divide both sides of the equation by 9:

x = 180/9

x = 20

Now that we have the value of x, we can substitute it back into the expressions for the angles:

2x = 2 * 20 = 40 degrees

3x = 3 * 20 = 60 degrees

4x = 4 * 20 = 80 degrees

The measure of the smallest angle in the triangle is 40 degrees.