Use the image to answer the question find the measure of the smallest angle of the triangle 2x, 96 and x + 12
To find the smallest angle of the triangle, we need to determine the value of x.
From the image, we can see that the sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the 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 that we have found the value of x, we can substitute it back into the smallest angle of the triangle:
2x = 2(24) = 48
Therefore, the smallest angle of the triangle is 48 degrees.