The ratio of inner to outer angle at one corner of a regular polygon is 11 : 7. Find the interior angle.
110

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Solution

The correct option is A 110
Given : The ratio of interior angle to exterior angle = 11 : 7

We know that,
Sum of interior and exterior angle = $180^{\circ}$

So, 11x + 7x = 180

$\Rightarrow 18 x = 180$

$\Rightarrow x = 10$

$∴$ Interior angle
$= 11 x = 110^{\circ}$

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