The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the following equation and solve for x:
96 + 2x + x + 12 = 180
96 + 3x + 12 = 180
3x + 108 = 180
3x = 72
x = 24
Now, we can find the measure of the smallest angle by evaluating 2x:
2x = 2 * 24 = 48 degrees
Therefore, the smallest angle of the triangle measures 48 degrees.
Find the measure of the smallest angle of the triangle.
96°
2x
×+12°
1 answer