Advertisements
Advertisements
प्रश्न
Is it possible to have a regular polygon whose interior angle is: 135°
Advertisements
उत्तर
No. of. sides = n
Each interior angle = 135°
∴ `(("2n" - 4) xx 90^circ)/"n" = 135^circ`
180n - 360° = 135n
180n - 135n = 360°
n = `(360°)/(45°)`
n = 8
Which is a whole number.
Hence, it is possible to have a regular polygon whose interior angle is 135°.
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 each exterior angle is: 40° of a right 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.
Calculate the number of sides of a regular polygon, if: the ratio between its exterior angle and interior angle is 2: 7.
The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.
Is it possible to have a regular polygon whose interior angle is: 155°
If each interior angle of a regular polygon is 144°, what is its corresponding exterior angle?
What is the sum of all exterior angles of any regular polygon?
Which formula correctly represents the sum of interior angles of an n-sided polygon?
