Question

Two alternate sides of a regular polygon,
when produced, meet at right angle. Find :
(i) the value of each exterior angle of the
polygon;
(ii) the number of sides in the polygon.
​

Answer 1

Answer :

Let the measure of each exterior angle be x.

So, n=360/x

x +x + 90=180

2x=90

X=45

Number of sides =360/45

n=8

So,number of sides equal to 8

_______________________

Answer 2

Answer:

Suppose that exterior angle is x

n = 360/x

x+x+90 = 180

2x = 90

x =90

____

2

x = 45

sides = 360 / 45

n = 8

number of side = 8