Triangles Unit Test
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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)
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.