For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is

The correct option is 144.

To find the interior angle of a regular polygon, we can use the general formula for the measure of each interior angle of a regular polygon with n sides:
$$\mathrm{Interior\; Angle}=\frac{(n-2)\times 180°}{n}$$

In this problem, the polygon has 10 sides, so we set n = 10. Substituting this value into our formula, we get:
$$\mathrm{Interior\; Angle}=\frac{(10-2)\times 180°}{10}$$

First, simplify the term in the parentheses:
$$10-2=8$$

Now, substitute this back into the equation:
$$\mathrm{Interior\; Angle}=\frac{8\times 180°}{10}$$

Next, we can simplify the calculation by dividing 180 by 10 first:
$$\frac{180°}{10}=18°$$

Finally, multiply the remaining numbers:
$$8\times 18°=144°$$

Thus, the interior angle between the sides of a regular 10-sided polygon is 144 degrees.