ANSWER:
157.5°
STEP-BY-STEP EXPLANATION:
We can calculate the sum of all the interior angles of an n-sided polygon, just like this:
[tex]180\cdot(n-2)[/tex]
In this case it is 16 sides, therefore:
[tex]180\cdot(16-2)=180\cdot14=2520[/tex]
Therefore, to know how much an interior angle measures, we must divide by the number of angles, that is, 16, like this:
[tex]\frac{2520}{16}=157.5\text{\degree}[/tex]
That is, the measure of one interior angle in a regular 16-gon is 157.5°
