find the smallest angle of the triangle 96 degrees, x+12, 2x
To find the smallest angle, we need to find the value of x in the triangle formed by the angles 96 degrees, x+12, and 2x.
The sum of angles in a triangle is always 180 degrees, so we can set up an equation:
96 + x + 12 + 2x = 180
3x + 108 = 180
3x = 72
x = 24
To find the smallest angle, we substitute the value of x back into the expressions for the angles:
96 degrees, 24+12 = 36 degrees, 2(24) = 48 degrees
The smallest angle is 36 degrees.