Question

what is the measure of each angle in a regular polygon with 10 sides?

Explanation:

Step1: Calculate total interior angles

The formula for the sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$. For $n=10$:
$$(10-2)\times180^\circ = 8\times180^\circ = 1440^\circ$$

Step2: Divide by number of sides

In a regular polygon, all interior angles are equal. Divide the total by 10:
$$\frac{1440^\circ}{10} = 144^\circ$$

Answer:

$144$