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

Answer 1

To find the measure of the smallest angle of the triangle, we need to determine the value of x first.

The sum of the angles in a triangle is always 180 degrees. So we can set up the equation:

2x + 96 + x + 12 = 180

Combine like terms:

3x + 108 = 180

Subtract 108 from both sides:

3x = 72

Divide by 3:

x = 24

Now that we have found the value of x, we can substitute it back into the expression for the smallest angle (2x) to find the measure of the smallest angle:

2(24) = 48 degrees

Therefore, the measure of the smallest angle of the triangle is 48 degrees.