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 need to find the value of x.
Given that the triangle has angles measuring 2x, 96 degrees, and x + 12 degrees, we can set up an equation:
2x + 96 + x + 12 = 180
Combining like terms:
3x + 108 = 180
Subtracting 108 from both sides:
3x = 72
Dividing both sides by 3:
x = 24
Now, we can substitute the value of x back into the equation to find the measure of the smallest angle:
Smallest angle = 2x = 2(24) = 48 degrees
Therefore, the measure of the smallest angle of the triangle is 48 degrees.