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°
(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