A regular polygon is shown.
12 sided regular polygon
Determine the measure of one of its angles.
a) 2,160°
b) 1,800°
c) 165°
d) 150°
To find the measure of one angle in a regular polygon, we use the formula:
Angle measure = (180(n-2))/n
where n is the number of sides in the polygon.
For a 12-sided regular polygon:
Angle measure = (180(12-2))/12
= (180(10))/12
= 150°
Therefore, the measure of one angle in a 12-sided regular polygon is 150°.
The correct option is d) 150°.