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.
To find the measure of the smallest angle of the triangle, we can add up all the angles and set it equal to 180 degrees (since the angles of a triangle add up to 180 degrees).
2x + 96 + x + 12 = 180
3x + 108 = 180
3x = 72
x = 24
Now plug in the value of x to find the measure of the smallest angle:
2(24) = 48
Therefore, the smallest angle of the triangle is 48 degrees.