Question

the ratio between the interior angle and exterior angle of a regular polygon is 2 : 1

find interior angle of a polygon ​

Answer 1

Answer:

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(i) Interior angle : exterior angle = 2 : 1

∴ let interior angle = 2x°

And exterior angle = x°

∴ 2x° + x° = 180°

3x° = 180° = x = 180°/3 = 60°

(ii) x = 60°

∴ Each exterior angle = 60°

∴ 360°/n = 60°

n = 360°/60° = 6 sides