Advertisements
Advertisements
प्रश्न
Is it possible to have a regular polygon whose interior angle is:
138°
Advertisements
उत्तर
Let no. of sides = n
each interior angle = 138°
`therefore ("n" - 2)/"n" xx 180^circ = 138^circ`
180n - 360° = 138n
180n - 138n = 360°
42n = 360°
n = `(360°)/42`
n = `60^circ/7`
which is not a whole number.
Hence it is not possible to have a regular polygon whose interior angle is 138°.
APPEARS IN
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its exterior angle is : `1/3` of right angle
Is it possible to have a regular polygon whose interior angle is : 170°
Is it possible to have a regular polygon whose each exterior angle is: 80°
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
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 exterior angle exceeds its interior angle by 60°.
Is it possible to have a regular polygon whose interior angle is: 135°
Is it possible to have a regular polygon whose exterior angle is: 100°
Is it possible to have a regular polygon whose exterior angle is: 36°
Which formula correctly represents the sum of interior angles of an n-sided polygon?
