Final answer:
The measure of an interior angle of a regular 10-gon is calculated using the formula for interior angles of a regular polygon and equals 144 degrees.
Step-by-step explanation:
To find the measure of an interior angle of a regular 10-gon (a decagon), we use the formula for the interior angles of a regular polygon, which is:
(n - 2) × 180°, where n is the number of sides of the polygon.
For a 10-gon, n = 10:
((10 - 2) × 180°) / 10 = (8 × 180°) / 10 = 1440° / 10 = 144°.
Therefore, the measure of one interior angle of a regular 10-gon is 144 degrees.