Answer:
The smaller angle is 12 and the larger angle is 168
Explanation:
Let call the measure of the random angle a. There is a angle that is 14 times of that and supplementary to that the random angle. So that is represented by

Supplementary Angles add up to 180 degrees so let set up an equation

which equal after you combine like with like

Divide 15 by both sides and a=12 and the so smaller angle is 12 and the larger angle is 168