Section: Mathematics Usage

34) The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle?

1. 30
2. 35
3. 40
4. 45
5. 50

Since there are 180 degrees in a triangle, (3x) + (x + 10) + (2x - 40) = 180. Thus 6x - 30 = 180. This results in x being 35 and the three angles being 30, 45, and 105.