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प्रश्न
Is it possible to have a regular polygon whose interior angle is: 155°
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उत्तर
No. of. sides = n
Each interior angle = 155°
∴ `(("2n" - 4) xx 90^circ)/"n" = 155^circ`
180n - 360° = 155n
180n - 155n = 360°
25n = 360°
n = `(360°)/(25°)`
n = `72^circ/5`
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose interior angle is 155°.
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its interior angle is: 160°
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Is it possible to have a regular polygon whose interior angle is:
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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 :
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(ii) its each exterior angle
(iii) the number of sides in the polygon.
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Find number of side in a regular polygon, if it exterior angle is: 36
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