Answer
50$^\circ$, 50$^\circ$, and 80$^\circ$
Work Step by Step
Since two angles have the same measure, they will be represented by x. The other angle is 30$^\circ$ greater so it will be x+30. The sum of the angles in a triangle is always 180$^\circ$.
x+x+x+30=180
x+x+x=180-30
x+x+x=150
3x=150
x=$\frac{150}{3}$
x=50
Therefore two angles have a measure of 50$^\circ$
x+30=(50)+30=80
The third angle has a measure of 80$^\circ$.