Final answer:
The measure of one interior angle of a regular 16-sided polygon is calculated using the formula ((n-2) × 180°) / n, which results in 145°, hence given option d is correct.
Step-by-step explanation:
To find the measure of one interior angle of a regular 16-gon, we use the formula for the measure of an interior angle of a regular polygon, which is ((n-2) × 180°) / n, where 'n' is the number of sides. For a 16-gon, n = 16.
Plugging in the values we get: ((16-2) × 180°) / 16 = (14 × 180°) / 16 = 2520° / 16, which equals 157.5°.
So, the measure of one interior angle of a regular 16-gon is 157.5°, which is not listed in the options provided. Hence, we conclude that none of the options a) 120 degrees, b) 135 degrees, c) 140 degrees, is correct.