Advertisements
Advertisements
प्रश्न
Is it possible to have a regular polygon whose exterior angle is: 36°
Advertisements
उत्तर
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°.
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its interior angle is: 160°
Is it possible to have a regular polygon whose interior angle is:
138°
Is it possible to have a regular polygon whose each exterior angle is: 40° 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.
The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 4. Find the number of sides in the polygon.
AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20° ; find :
(i) its each interior angle,
(ii) its each exterior angle
(iii) the number of sides in the polygon.
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.
Is it possible to have a regular polygon whose interior angle is: 135°
