Question
The angles of a triangles measure 2x , 3x, and 4x . Using the Triangle Angle Sum Theorem , find the measure of the smallest angle in this triangle .
Answers
Answered by
GPT 3.5
The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, we can set up the equation:
2x + 3x + 4x = 180
9x = 180
x = 20
Now, we can find the measure of each angle:
2x = 2(20) = 40
3x = 3(20) = 60
4x = 4(20) = 80
So, the smallest angle in the triangle measures 40 degrees.
Therefore, we can set up the equation:
2x + 3x + 4x = 180
9x = 180
x = 20
Now, we can find the measure of each angle:
2x = 2(20) = 40
3x = 3(20) = 60
4x = 4(20) = 80
So, the smallest angle in the triangle measures 40 degrees.