Advertisements
Advertisements
Question
Is it possible to have a regular polygon whose exterior angle is: 36°
Advertisements
Solution
Let no. of. sides = n
Each exterior angle = 36°
= `360^circ/"n" = 36^circ`
∴ n = `360^circ/36^circ`
n = 10
Which is a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is 36°.
APPEARS IN
RELATED QUESTIONS
Find the number of sides in a regular polygon, if its interior angle is: 160°
Find the number of sides in a regular polygon, if its interior angle is: `1 1/5` of a right angle
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find:
(i) each exterior angle of the polygon ;
(ii) number of sides in the polygon.
If the difference between the exterior angle of a 'n' sided regular polygon and an (n + 1) sided regular polygon is 12°, find the value of n.
The ratio between the number of sides of two regular polygons is 3 : 4 and the ratio between the sum of their interior angles is 2 : 3. Find the number of sides in each polygon.
Calculate the number of sides of a regular polygon, if: its interior angle is five times its exterior angle.
Calculate the number of sides of a regular polygon, if: the ratio between its exterior angle and interior angle is 2: 7.
If each interior angle of a regular polygon is 144°, what is its corresponding exterior angle?
Which formula correctly represents the sum of interior angles of an n-sided polygon?
