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
Fill in the blanks :
In case of regular polygon, with :
| No.of.sides | Each exterior angle | Each interior angle |
| (i) ___8___ | _______ | ______ |
| (ii) ___12____ | _______ | ______ |
| (iii) _________ | _____72°_____ | ______ |
| (iv) _________ | _____45°_____ | ______ |
| (v) _________ | __________ | _____150°_____ |
| (vi) ________ | __________ | ______140°____ |
Find the number of sides in a regular polygon, if its interior angle is: `1 1/5` of a right angle
Find the number of sides in a regular polygon, if its exterior angle is : `1/3` of right angle
Find the number of sides in a regular polygon, if its exterior angle is: two-fifth of right angle
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: the ratio between its exterior angle and interior angle is 2: 7.
Find the number of sides in a regular polygon, if its interior angle is: 150°
Find a number of side in a regular polygon, if it exterior angle is: 30°.
