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 interior angle is: 160°
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 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.
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.
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.
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?
