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°.
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its exterior angle is: two-fifth of 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.
Two alternate sides of a regular polygon, when produced, meet at the right angle. Calculate 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 exterior angle exceeds its interior angle by 60°.
Find a number of side in a regular polygon, if it exterior angle is: 30°.
Find number of side in a regular polygon, if it exterior angle is: 36
What is the measure of each interior angle of a regular hexagon?
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?
