Polygon Angles and Diagonals

What is the sum of the interior angles of a polygon with n sides?

• 180 degrees

• 360 degrees

• 180(n-2) degrees

• 360(n-2) degrees

What is the sum of the exterior angles of any polygon?

• 180 degrees

• 360 degrees

• 180(n-2) degrees

• 360(n-2) degrees

How do you calculate the number of diagonals from one vertex in a polygon with n sides?

• n(n-3)/2

• n-2

• n(n-2)/2

• n-3

How do you calculate the total number of diagonals in a polygon with n sides?

• n(n-3)/2

• n(n-2)/2

• n-3

• n-2

How many diagonals can be drawn in a nonagon?

• 27

• 12

• 15

• 20

How many diagonals can be drawn from one vertex in a hendecagon?

• 11

• 9

• 8

• 10

What is the sum of the interior angles of an octagon?

• 1080 degrees

• 1440 degrees

• 1260 degrees

• 1800 degrees

What is the sum of the interior angles of a dodecagon?

• 1800 degrees

• 1260 degrees

• 1440 degrees

• 1080 degrees

If a polygon has a sum of interior angles equal to 900 degrees, how many sides does it have?

• 5

• 6

• 8

• 7

If a polygon has 12 diagonals from one vertex, how many sides does it have?

• 14

• 15

• 13

• 12