the sum of measures of the angles in a nonagon is
A)1260 degree
B)1160 degree
C)1060 degree
D)960 degree
To find the sum of the measures of the angles in a nonagon (a polygon with nine sides), you can use the formula:
Sum of angle measures = (n - 2) * 180 degrees
Where n represents the number of sides of the polygon.
In this case, since a nonagon has nine sides, you can substitute n with 9:
Sum of angle measures = (9 - 2) * 180 degrees
Sum of angle measures = 7 * 180 degrees
Sum of angle measures = 1260 degrees
Therefore, the correct answer is A) 1260 degrees.
To find the sum of the measures of the angles in a nonagon, we must first know the formula for finding the sum of the interior angles of any polygon.
The formula to find the sum of the interior angles of a polygon with n sides is:
Sum = (n - 2) * 180 degrees
In this case, since we are looking for the sum of the angles in a nonagon (a polygon with 9 sides), we can substitute n = 9 into the formula:
Sum = (9 - 2) * 180 degrees
Sum = 7 * 180 degrees
Sum = 1260 degrees
Therefore, the sum of the measures of the angles in a nonagon is 1260 degrees.
The correct answer is option A) 1260 degree.