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Question
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
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Solution
Let each exterior angle or interior angle be = x°
∴ x + x = 180°
2x = 180°
x = 90°
Now, let no. of sides = n
∵ each exterior angle = `360^circ/"n"`
∴ 90° = `360^circ/"n"`
n = `360^circ/90^circ`
n = 4
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