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प्रश्न
Is it possible to have a regular polygon whose each exterior angle is: 40° of a right angle.
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उत्तर
Let the number of sides = n
Each exterior angle = 40% of a right angle
`= 40/100 xx 90`
= 36°
n = `360^circ/36^circ`
n = 10
Which is a whole number.
Hence it is possible to have a regular polygon whose exterior angle is 40% of the right angle.
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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: 135°
Is it possible to have a regular polygon whose interior angle is : 170°
Is it possible to have a regular polygon whose interior angle is:
138°
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
Calculate the number of sides of a regular polygon, if: its interior angle is five times its exterior angle.
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°
A regular polygon has each exterior angle measuring 40°. How many sides does it have?
What is the sum of all exterior angles of any regular polygon?
