What is the measure of one interior angle of a regular 12-gon?
(1 point)
A. 30 deg
B. 180 deg
C. 1,800°
D.150°
The measure of one interior angle of a regular n-gon is given by the formula:
Interior angle = (n - 2) * 180° / n
For a regular 12-gon (n = 12), the formula becomes:
Interior angle = (12 - 2) * 180° / 12 = 10 * 180° / 12 = 150°
Therefore, the measure of one interior angle of a regular 12-gon is 150°.
The correct answer is D. 150°
To find the measure of one interior angle of a regular polygon, you can use the formula:
Interior angle = (n-2) * 180° / n
where n is the number of sides of the polygon.
In this case, the regular polygon has 12 sides, so:
Interior angle = (12-2) * 180° / 12
Interior angle = 10 * 180° / 12
Interior angle = 1800° / 12
Interior angle = 150°
Therefore, the measure of one interior angle of a regular 12-gon is 150°.
The correct answer is D. 150°.
To find the measure of one interior angle of a regular 12-gon, we can use the formula:
Interior angle = (n - 2) * (180°) / n
where n represents the number of sides in the polygon.
Substituting n = 12 into the formula:
Interior angle = (12 - 2) * (180°) / 12
Interior angle = 10 * 180° / 12
Interior angle = 1800° / 12
Interior angle = 150°
Therefore, the measure of one interior angle of a regular 12-gon is 150°.
The correct answer is option D.