Find The Number Of Sides Of A Regular Convex Polygon Whose Interior A

1.	Find The Number Of Sides Of A Regular Convex Polygon Whose Interior Angle Is 40 Degrees?
Answer» We have interior ANGLE as 40 degrees. HENCE LET n be the number of sides of that polygon, Then formula is ⇒180 × (n-2) = 40 × n ⇒180n – 360 = 40n ⇒140n = 360 Since, no INTEGER value of n is possible, hence such a polygon can not exist We have interior angle as 40 degrees. Hence Let n be the number of sides of that polygon, Then formula is ⇒180 × (n-2) = 40 × n ⇒180n – 360 = 40n ⇒140n = 360 Since, no integer value of n is possible, hence such a polygon can not exist

Find The Number Of Sides Of A Regular Convex Polygon Whose Interior Angle Is 40 Degrees?

Answer»

We have interior ANGLE as 40 degrees.

HENCE LET n be the number of sides of that polygon,

Then formula is

⇒180 × (n-2) = 40 × n

⇒180n – 360 = 40n

⇒140n = 360

Since, no INTEGER value of n is possible, hence such a polygon can not exist

We have interior angle as 40 degrees.

Hence Let n be the number of sides of that polygon,

Then formula is

⇒180 × (n-2) = 40 × n

⇒180n – 360 = 40n

⇒140n = 360

Since, no integer value of n is possible, hence such a polygon can not exist