Question

Is it possible to have a rugular polygon
each of whose exterior angle is 135degree.​

Answer 1

Answer:

yes

Step-by-step explanation:

. of sides = n

Each interior angle = 135°

∴ ((2n – 4) × 90°)/n = 135°

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°.

Answer 2

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➪ Yes, it is possible to have a regular polygon each of whose exterior angle is 135° .

Explaination :-

➪ No. of sides = n

➪ Each interior angle = 135°

∴ ((2n – 4) × 90°)/n = 135°

180n - 360° = 135n

180n – 135n = 360°

n = 360°/45°

$\boxed{n = 8}$

Which is a whole number

Hence, it is possible to have a regular polygon whose interior angle is 135°.

@SweetestBitter