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

1. $396$
2. $324$
3. $216$
4. $144$

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The interior angle between the sides of the polygon $= \frac{(n-2) \times 180^{\circ}}{n},$ where $n =$ number of sides of the polygon.

Here, $n = 10,$  therefore the interior angle between the sides of the polygon $= \frac{(10-2) \times 180^{\circ}}{10}$

$\qquad = 8 \times 18^{\circ} = 144^{\circ}.$

So, the correct answer is $(D).$
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