Answer: The measures of the angles are 12 degrees and 168 degrees respectively.
Step-by-step explanation:
To find the measures of the angles, we can set up the following equation based on the information given:
Let the measure of the first angle be x degrees.
The measure of its supplementary angle (which adds up to 180 degrees with the first angle) is 14x degrees.
Now, we can write the equation:
x + 14x = 180
Simplify the equation:
15x = 180
Divide by 15 to solve for x:
x = 12
Therefore, the first angle measures 12 degrees, and its supplementary angle measures 14 times that, which is:
14 * 12 = 168 degrees.
