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.
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