The measures of 13 of the 14 angles of a 14−gon add up to 2,016°. What must the fourteenth angle measure be?

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 . We'll now write an equation to solve it.

Divide both sides by 13.

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.

So, if we were to turn this into a mixed number, we'd get something like this.

That should be your fourteenth angle measure.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify