#### Answer

28$^\circ$, 84$^\circ$, and 68$^\circ$

#### Work Step by Step

Since one angle is 3 times the measure of the other, these angles can be represented by x and 3x. The third angle is 40$^\circ$ greater than the smaller one, so it can represented by x+40. The sum of all of the angles in a triangle is always 180$^\circ$.
x+3x+x+40=180
4x+x+40=180
5x+40=180
5x=180-40
5x=140
x=$\frac{140}{5}$
x=28$^\circ$
3x=3(28)=84$^\circ$
x+40=(28)+40=68$^\circ$