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Is It Possible to Have a Regular Polygon Whose Interior Angle Is: 135° - Mathematics

Sum

Is it possible to have a regular polygon whose interior angle is: 135°

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Solution

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°.

Concept: Regular Polynomial
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 4.1
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