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)
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GPT 3.5
By the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.
Therefore, 2x + 3x + 4x = 180.
Combining like terms, we have 9x = 180.
Dividing both sides by 9, we find that x = 20.
Therefore, the smallest angle is 2x = 2(20) = 40 degrees.
Therefore, 2x + 3x + 4x = 180.
Combining like terms, we have 9x = 180.
Dividing both sides by 9, we find that x = 20.
Therefore, the smallest angle is 2x = 2(20) = 40 degrees.
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