Triangles Unit Test

Question

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Question
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.(1 point)

Answer 1

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 a triangle is always 180 degrees.

So, we can set up the equation:

2x + 3x + 4x = 180

Combining like terms, we get:

9x = 180

Dividing by 9 on both sides, we get:

x = 20

Now, we can find the measure of the smallest angle by substituting the value of x back into the expression for the smallest angle:

2x = 2(20) = 40

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