Answer: The two angles are 117 degrees and 63 degrees.
Explanation:
Supplementary angles are two angles whose sum is 180 degrees. Let the two angles be 13x and 7x, where x is a constant of proportionality.
We know that the sum of the angles is 180 degrees, so:
13x + 7x = 180
Combining like terms, we get:
20x = 180
Dividing both sides by 20, we get:
x = 9
So the measures of the angles are:
13x = 13(9) = 117 degrees
7x = 7(9) = 63 degrees
Therefore, the two angles are 117 degrees and 63 degrees.