Polygon Angles and Diagonals

The video tutorial covers the properties of polygons, including the sum of interior and exterior angles, and the number of diagonals. It provides exercises to calculate these properties for various polygons, such as nonagons and dodecagons. The tutorial also includes problem-solving exercises to reinforce understanding of these concepts.

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