Answer:
[tex]x = 155 \frac{1}{13}[/tex] or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.
Step-by-step explanation:
2,016 is the sum of 13 identical numbers. Let's say the unknown number is [tex]x[/tex]. We'll now write an equation to solve it.
[tex]13x = 2016[/tex]
Divide both sides by 13.
[tex]x = \frac{2016}{13}[/tex]
Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.
13 goes into 2016 155 times.
Here, I'll check for you.
[tex]13 * 155 = 2015[/tex]
So, if we were to turn this into a mixed number, we'd get something like this.
[tex]x = 155 \frac{1}{13}[/tex]
That should be your fourteenth angle measure.
