Final Answer:
The measure of each interior angle in a regular n-gon with a total interior angle sum of 6,120° is 150°. Thus, the correct answer is d) 150°.
Step-by-step explanation:
To calculate the measure of each interior angle, we first find the total measure of all the interior angles, which is 6,120°. Then, we divide this by the number of angles, which is n.
Total interior angle measure = 6,120°
Number of angles = n
Measure of each interior angle = Total interior angle measure / Number of angles
Measure of each interior angle = 6,120° / n
Let's find the value of n that makes the measure of each interior angle equal to 150°:
Measure of each interior angle = 150°
Measure of each interior angle = 6,120° / n
150 = 6,120 / n
n = 40 (rounded up to the nearest integer)
So, a regular 40-gon has an interior angle measure of 150°. However, it's not commonly found in nature or everyday life since it has many sides and is not as symmetrical as other regular polygons like the triangle, square, pentagon, hexagon, etc.
Thus, the correct answer is d) 150°.