Question

is it possible to havea regular polygon with measure of each exterior angle as 34 degree

Answer 1

If 360/34 gives a whole no:.
The polygon is possible

Byt 360/34=10.588...
Whicg is a Fraction...

Hence... The polygon is not possible...
As the sum of all exterior angles of a polygon is 360°>

Hope it helps...
Regards,
Leukonov.

Answer 2

the interior and exterior angle of a polygon are adjacent supplementry angle
so interior angle is 180-34=146
now (n-2)180/n=146
180n-360=146n
180n-146n=360
34n=360
n=360/34=10.5
10.5 is not a whole number because n is number of sides of polygon
so a polygon with measure of each exterior angle as 34 degree is not possible