Answer: the angles of the triangle are 23 degrees, 69 degrees and 88 degrees.
Explanation:
Let x represent the measure of the smallest triangle.
One angle of the triangle is three times as large as another. It means that the size of the larger angle is 3x.
The measure of the third angle is 65 more than the smallest angle. This means that the measure of the third angle is
x + 65
The sum of the angles in a triangle is 180 degrees. It means that
x + 3x + x + 65 = 180
5x + 65 = 180
5x = 180 - 65
5x = 115
x = 115/5
x = 23 degrees
The larger angle is
3 × 23 = 69 degrees
The third angle is
23 + 65 = 88 degrees