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Is It Possible to Have a Regular Polygon Whose Interior Angle Is: 155° - Mathematics

Sum

Is it possible to have a regular polygon whose interior angle is: 155°

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Solution

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°.

Concept: Regular Polynomial
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 4.2
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