Answer:
The smaller angle is 12 and the larger angle is 168
Step-by-step 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
[tex]14a[/tex]
Supplementary Angles add up to 180 degrees so let set up an equation
[tex]a + 14a = 180[/tex]
which equal after you combine like with like
[tex]15a = 180[/tex]
Divide 15 by both sides and a=12 and the so smaller angle is 12 and the larger angle is 168
