Final answer:
The first angle is 56 degrees and the second angle is 124 degrees.
Step-by-step explanation:
Let's assume that one of the angles is x degrees. According to the problem, the other angle is 12 more than twice the first angle, so it can be represented as 2x + 12 degrees.
Since the angles are supplementary, their sum is 180 degrees. Therefore, we can write the equation:
x + (2x + 12) = 180
Simplifying the equation:
3x + 12 = 180
Subtracting 12 from both sides:
3x = 168
Dividing both sides by 3, we find:
x = 56
Now, we can substitute the value of x back into one of the angle expressions to find the second angle:
2x + 12 = 2(56) + 12 = 124
Therefore, the first angle is 56 degrees and the second angle is 124 degrees.