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प्रश्न
Is it possible to have a regular polygon whose each exterior angle is: 80°
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उत्तर
Let no. of sides = n each exterior angle = 80°
`360^circ/"n" = 80^circ`
`"n" = 360^circ/80^circ`
n = `9/2`
Which is not a whole number.
Hence it is not possible to have a regular polygon whose each exterior angle is of 80°
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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
Is it possible to have a regular polygon whose interior angle is:
138°
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.
The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of 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.
Find a number of side in a regular polygon, if it exterior angle is: 30°.
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°
What is the sum of all exterior angles of any regular polygon?
