FINDING NUMBER OF SIDES OF A POLYGON WORKSHEET

Problem 1 :

Each interior angle of a regular polygon is 174⁰. Find the number of sides of polygon.

Solution

Problem 2 :

The interior angle of a regular polygon is 135⁰. Work out the number of sides of the polygon.

Solution

Problem 3 :

The sum of the interior angles in a polygon is 7380⁰. Calculate the number of sides the polygon has.

Solution

Problem 4 :

Shown below is a regular pentagon ABCDE

Solution

Problem 5 :

Shown below is a regular hexagon, with an exterior angle labeled y.

Work out the size of each exterior angle.

Solution

Problem 6 :

Shown is a regular hexagon and a regular octagon.

Solution

Problem 7 :

Shown below is a regular hexagon ABCDEF.

Calculate the angle x.

Solution

Answer Key

1)  n = 6

2)  n = 8

3)  n = 43

4)  x = 108 and y = 36

5)  y = 60

6)  y = 105

7)  x = 30

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