Triangles Unit Test%0D%0A2 of 122 of 12 Items%0D%0AQuestion%0D%0AThe 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.(1 point)%0D%0A°

Answer 1

The Triangle Angle Sum Theorem states that the sum of the interior angles in a triangle is always 180 degrees.

Therefore, we can write 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 measures of the angles:

2x = 2(20) = 40 degrees
3x = 3(20) = 60 degrees
4x = 4(20) = 80 degrees

The smallest angle in the triangle is 40 degrees.