Question

13.Which of the following can never be the measure of an exterior angle of a regular polygon?

22

36

45

30

​

Answer 1

Answer:

22

Step-by-step explanation:

Since, we know that, the sum of measures of exterior angles of a polygon is 360°, i.e. measure of each exterior angle =360°/n ,where n is the number of sides/angles. Thus, measure of each exterior angle will always divide 360° completely. Hence, 22° can never be the measure of exterior angle of a regular polygon.

Answer 2

Answer:

Since, we know that, the sum of measures of exterior angles of a polygon is 360°, i.e. measure of each exterior angle =360°/n ,where n is the number of sides/angles. Thus, measure of each exterior angle will always divide 360° completely. Hence, 22° can never be the measure of exterior angle of a regular polygon.