## Introductory Algebra for College Students (7th Edition)

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