How many degrees is the sum of the measures of the interior angles of a regular polygon with 14 sides?
150°
1,800°
2,160°
2,520°
How many degrees is the sum of the measures of the interior angles of a regular polygon with 14 sides?
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How many degrees is the sum of the measures of the interior angles of a regular polygon with 14 sides?
150°
1,800°
2,160°
2,520°
To find the sum of the measures of the interior angles of a polygon, you can use the formula:
[
text{Sum of interior angles} = (n – 2) times 180°
]
where ( n ) is the number of sides in the polygon.
For a polygon with 14 sides:
[
text{Sum} = (14 – 2) times 180° = 12 times 180° = 2,160°
]
So, the correct answer is 2,160°.