find the measure of the smallest angle of the triangle

2x on the left
x+12 on the right
96 on the top

1 answer

Since the sum of angles in a triangle is always 180 degrees, we can set up the equation:

2x + x + 12 + 96 = 180

Combining like terms, we get:

3x + 108 = 180

Subtracting 108 from both sides, we get:

3x = 72

Dividing both sides by 3, we get:

x = 24

Now we can find the measures of each angle by substituting x back into the expressions:

Left angle: 2x = 2(24) = 48 degrees
Right angle: x + 12 = 24 + 12 = 36 degrees
Top angle: 96 degrees

Therefore, the smallest angle of the triangle is the right angle, which measures 36 degrees.