Angle a equals 96 and b equals x+12 and c equals 2x. Find the measure of the smallest angle of the triangle.
The sum of the angles in a triangle is always 180 degrees. So, we have:
a + b + c = 180
Substituting the given values, we get:
96 + (x+12) + 2x = 180
Simplifying the equation, we have:
3x + 108 = 180
Subtracting 108 from both sides, we get:
3x = 72
Dividing both sides by 3, we have:
x = 24
Substituting this value back into the expression for "c":
c = 2x = 2(24) = 48
So, the smallest angle of the triangle is "a", which equals 96 degrees.