Question

find the measure of one interior angle in a regular 24-gon.

Explanation:

Identify the number of sides of the polygon

$$ n = 24 $$

Calculate the sum of the interior angles

$$ S = (n - 2) \times 180^\circ = (24 - 2) \times 180^\circ = 22 \times 180^\circ = 3960^\circ $$

Calculate the measure of one interior angle

$$ I = \frac{3960^\circ}{24} = 165^\circ $$

Answer:

Find the measure of one interior angle in a regular 24-gon.
<blank>165</blank>\(^\circ\)