Answer
The smallest angle is 34 degrees.
The other angle is 99 degrees.
Work Step by Step
Let X represent the smallest of the two angles.
The other one is 3 smaller than three times the other angle, which means 3 smaller than three times X.
Three times X means 3X.
3 smaller than three times X means 3X - 3.
So, this angle is 3X - 3.
The first angle was 47 degrees, and we know that the sum of the angles of a triangle equals 180 degrees. So, we set up the following equation:
47 + X + 3X - 3 = 180
4X + 44 = 180
4X = 136
Divide both sides by 4:
X = 34
The smallest angle is 34 degrees.
The other angle is 3 $\times$ 34 - 3 = 99 degrees.
