INTERIOR AND EXTERIOR ANGLES OF A POLYGON WORKSHEET

Problem 1 :

The number of sides of a regular polygon where each exterior angle has a measure of 45º is ……

a)  8        b) 10       c) 4     d) 6

Solution

Problem 2 :

a)  60º      b) 140º      c) 150º     d) 108º

Solution

Problem 3 :

If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are 

a) 72º, 108º      b) 36º, 54º     (c) 80º, 120º    (d) 96º, 144º

Solution

Problem 4 :

If PQRS is a parallelogram, then P -R is equal to

a) 60º     b) 90º    c) 80º    d) 0º

Solution

Problem 5 :

The sum of adjacent angles of a parallelogram is

a) 180º     b) 120º  c) 360º  d) 90º

Solution

Problem 6 :

The number of sides of a regular polygon whose each interior angle is of 135º is ……

a) 6       b) 7      c) 8        d) 9

Solution

Answer Key

1)  8 sides.

2)  108º

3) 72º, 108º

4) 0º

5)  180º 

6) 8 sides

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

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