algebra
posted by miles on .
the three angles of a triangle are 3x,x+10, and 2x40. Find the size of the smallest angle in a triangle

recall that the sum of the interior angles of any triangle is 180 degrees,, thus:
3x + (x+10) + (2x40) = 180
6x  30 = 180
6x = 210
x = 35
therefore, the angles are:
3x = 3(35) = 105
x+10 = 35+10 = 45
2x40 = 2(35)40 = 30
..and the smallest angle is 30 degrees
so there,, :)