Question

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

• A. 110

Answer 1

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

$\Rightarrow 18x=180$

$\Rightarrow x=10$

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