INTERIOR ANGLES OF A REGULAR POLYGON WORKSHEET

Problem 1 :

Solve for x.

Solution

Problem 2 :

Solve for x.

Solution

Problem 3 :

Solve for x.

Solution

Problem 4 :

The sum of the angles of a polygon is 1980°. How many angles has the polygon?

Solution

Problem 5 :

Juan claims to have found a polygon which has angles with a sum of 2500°. Comment on Juan’s finding.

Solution

Answer Key

1) x° = 151°

2)   x° = 108°

3)  x° = 110°

4)  n = 13

5)  n = 15.8 (not)

Problem 1 :

Find the number of sides of a regular polygon which has angles of 150°

Solution

Problem 2 :

Is there a regular polygon which has the angle of 158°

Solution

Problem 3 :

For the following regular polygon given below,

a) Equilateral triangle

b) Square

c) Pentagon

d)  Hexagon

e) Octagon

f) Decagon

find

(i)  Number of sides that the polygon has

(ii) Number of angles

(iii)  Size of each angle.

Solution

Answer Key

1)  n = 12

2) Not a polygon

3)  a)  60°  b)   90°  c)  108°  d)  120  e)  135°  f)  144°

Problem 1 :

Find the size of each angle of a regular 12 sided polygon.

Problem 2 :

Each exterior angle of a regular polygon is 20⁰. Work out the number of sides of the polygon.

Answer Key

1) 150 degree.

2)  18 sides.

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