Use the image to answer the question find the measure of the smallest angle of the triangle 2x, 96 and x + 12

Answer 1

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.