Determine the number of sides of a polygon whose exterior and interior angles are in the ratio $$1 : 5$$.
We know that the sum of one exterior angle and one interior angle is $$180°$$ as they form a linear pair. Now lets say that the exterior angle is $$x°.$$ And it is given that the interior angle are in the ratio $$1:5$$
$$\therefore$$ the interior angle measure will be $$5x$$
Now, the sum of exterior angle in polygon $$=360°$$