find the smallest angle of the triangle 96degrees, 2x, x+12degrees.

Answer 1

To find the smallest angle of the triangle, we need to find the value of x that corresponds to that angle.

We know that the sum of the angles in a triangle is always 180 degrees. So, we can write the equation:

96 + 2x + (x+12) = 180

Combine like terms:

3x + 108 = 180

Subtract 108 from both sides:

3x = 72

Divide by 3:

x = 24

Now, we can find the smallest angle by substituting x back into the expression for that angle:

x + 12 = 24 + 12 = 36 degrees

So, the smallest angle of the triangle is 36 degrees.