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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.
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According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees. Therefore, we can write an equation:
2x + 3x + 4x = 180
Simplifying the equation, we get:
9x = 180
Dividing both sides by 9, we get:
x = 20
Now we can find the measure of each angle by substituting x = 20:
The smallest angle is 2x = 2(20) = 40 degrees.
2x + 3x + 4x = 180
Simplifying the equation, we get:
9x = 180
Dividing both sides by 9, we get:
x = 20
Now we can find the measure of each angle by substituting x = 20:
The smallest angle is 2x = 2(20) = 40 degrees.
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