Triangles Unit Test
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Question
Use the image to answer the question.
A triangle is shown with its angles measuring 2 x, 96 degrees, and x plus 12 degrees.
Find the measure of the smallest angle of the triangle.(1 point)
°
To find the measure of the smallest angle of the triangle, we can set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.
Since we are given that the angles are measuring 2x, 96 degrees, and x + 12 degrees, we can set up the equation:
2x + 96 + x + 12 = 180
Combining like terms, we get:
3x + 108 = 180
Subtracting 108 from both sides, we get:
3x = 72
Dividing both sides by 3, we get:
x = 24
Now that we have found the value of x, we can substitute it back into one of the angles to find the measure of the smallest angle:
2x = 2 * 24 = 48 degrees
Therefore, the measure of the smallest angle of the triangle is 48 degrees.