Is it possible to have a regular polygon whose interior angle is: 135°
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Answer
No. of. sides = n Each interior angle = 135° $\therefore \frac{(2 n -4) \times 90^{\circ}}{ n }=135^{\circ}$ 180n - 360° = 135n 180n - 135n = 360° $n =\frac{360^{\circ}}{45^{\circ}}$ n = 8 Which is a whole number. Hence, it is possible to have a regular polygon whose interior angle is 135°.
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