Q. 184.2( 5 Votes )

# Find the number of sides of a regular polygon, when each of its angles has a measure of

(i) 160°

(ii) 135°

(iii) 175°

(iv) 162°

(v) 150°

Answer :

(i) 160°

The measure of interior angle A of a polygon of n sides is given by

Angle of quadrilateral is 160°

Therfore number of sides are 18

(ii) 135°

The measure of interior angle A of a polygon of n sides is given by

Angle of quadrilateral is 135°

Therfore numbers of sides are 8

(iii) 175°

The measure of interior angle A of a polygon of n sides is given by

Angle of quadrilateral is 175°

Therfore numbers of sides are 72

(iv) 162°

The measure of interior angle A of a polygon of n sides is given by

Angle of quadrilateral is 162°

Therfore numbers of sides are 20

(v) 150°

The measure of interior angle A of a polygon of n sides is given by

Angle of quadrilateral is 150°

Therfore numbers of sides are 12

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