FINDING MISSING INTERIOR AND EXTERIOR ANGLES WORKSHEET

Find the missing interior and for exterior angles of a given polygon:

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Answer Key

1)  x° = 117

2)  x° = 140

3)  x° = 105

4)  x° = 50

5)  x° = 110

6)  x° = 79

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Answer Key

1)  a° = 55

2)  b° = 55

3)  x = 20

4)  b° = 77

5)  x° = 45 and y° = 70

6)   a = 45, b = 85, c = 130 and d = 50

Problem 1 :

Find the number of sides of a regular polygon whose each exterior angle measures 60°.

Solution

Problem 2 :

An exterior angle and the interior angle of a regular polygon are in the ratio 2:7. Find the number of sides of the polygon.

Solution

Problem 3 :

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

Solution

Problem 4 :

The number of sides of a regular polygon whose each exterior angle is 60° is

Solution

Problem 5 :

The interior angle of a regular polygon is four times its exterior angle. How many sides does the polygon have ?

Solution

Answer Key

1)  n = 6

2)  n = 9

3) n = 18

4)  n = 6

5)  n = 10


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