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
The sum of the angles in a triangle is always 180 degrees.
Therefore, we can set up an equation to solve for x:
2x + 96 + x + 12 = 180
3x + 108 = 180
3x = 72
x = 24
Now we can find the measure of the smallest angle by plugging in x:
2(24) = 48 degrees
Therefore, the smallest angle of the triangle is 48 degrees.