Polygons Exercise

1. The diagram shows a regular nine-sided polygon (a nonagon).

 

(a) What is the sum of the exterior angles?

(b) Calculate the sum of the interior angles.

(c) What is the size of each:

(i) Exterior angle?
(ii) Interior angle?

2. Find the sizes of the angles marked by letters.

 

a.

b.

c.

d.

 

 e. 

f.

 

3. The sum of the interior angles of a n-sided polygon = 180 x (n − 2)°

Find the size of each interior angle of:

(i) a square

(ii) an regular octagon

(iii) a regular dodecagon (12 sides)

(iv) a regular icosagon (20 sides)

4. The exterior angles of a regular polygon are each 30°. How many sides has the polygon?

5. The interior angles of a polygon add up to 5400°. How many sides has the polygon?