# (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

(b) Can it be an interior angle of a regular polygon? Why?

**Solution:**

We know that, total sum of all the exterior angles of a regular polygon = 360°

Let the number of sides be = n.

(a) Measure of each exterior angle = 22°

Number of sides = Sum of exterior angles / each exterior angle

= 360°/22°

= 16.36

Thus, we cannot have a regular polygon with an exterior angle of 22° as the number of sides is not a whole number.

(b) Measure of each interior angle = 22°

Measure of each exterior angle = (180 - 22)° = 158°

Number of sides = Sum of exterior angles / each exterior angle

= 360° / 158°

= 2.27

Thus, we cannot have a regular polygon with an interior angle of 22° as the number of sides is not a whole number

**Video Solution:**

## (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 5

**Summary:**

(a) It is not possible to have a regular polygon with measure of each exterior angle as 22° since the number of sides is not a whole number. (b) It is not possible to have a regular polygon with an interior angle of 22° as the number of sides is not a whole number

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