IF ONE OF THE INTERIOR ANGLES OF A REGULAR POLYGON IS TO BE EQUAL TO (9/8) TIMES OF ONE OF THE INTERIOR ANGLES OF A REGULAR HEXAGON,THEN THE INTERIOR SIDES OF THE POLYGONS IS .......?

Answer 1

interior angles of a hexagon = 180(4)/6 = 120°

let the number of side of the polygon be n
180(n-2)/n = (9/8)(120)
180n - 360 = 135n
45n = 360
n = 8

Your question of " Then the interior side of the polygon is ....? " makes no sense
(notice my caps lock is not stuck like yours)

Answer 2

there are 2 possibilities -
1. you don't know English and just showing off with the little knowledge you have
2. all of the question is correct . He might be a rich person not like you typing on a mobile phone . He must be typing on the laptop and no one has this much time to see the caps lock is on or not
thank you
don't judge others

Answer 3

Let the interior angle of regular polygon be x. According to the question,
x∘
=
8
9
​
×120
∘
=135
∘

135
∘
=
n
(n−2)×180
∘

​

45n=360
∘

Hence, the number of sides is 8.