SOLUTION: The interior angle sum of the polygon is 1440° . Find the number of right angles in the polygon

Algebra ->  Polygons -> SOLUTION: The interior angle sum of the polygon is 1440° . Find the number of right angles in the polygon      Log On


   



Question 1118573: The interior angle sum of the polygon is 1440° . Find the number of right angles in the polygon
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The question can't be answered. Given the interior angle sum, we know the number of sides of the polygon, and therefore the number of angles -- but we know nothing about how many of them are right angles.

So I will guess that the question was to find the number of angles, not the number of right angles.

I think the easiest way to get from the interior angle sum to the number of sides/angles is to add the 360 degree sum of the exterior angles; then, since the sum of each interior and corresponding exterior angle is 180 degrees, divide the resulting total by 180:

1440%2B360+=+1800
1800%2F180+=+10

The polygon has 10 sides and 10 angles.