How many sides are in a polygon whose sum of the interior angles is 1440?

Question

How many sides are in a polygon whose sum of the interior angles is 1440?

1 Answer

Impact of this question

10645 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-10T13:02:35

There are 10 sides.

Explanation:

If you draw triangles inside a polygon using one vertex and joining it to all the other vertices (without line crossing) the number of triangles will be 2 less than the number of sides . Hence $(n-2)$ in the formula. Each triangle has 180°.

$1440 div 180$ will give the number of triangles.

Then add 2 to find the number of sides.

$1441 div 180 = 8$ triangles

$8+2 = 10 " sides"$

Or you could use the formula, it does exactly the same process.

$180(n-2) = 1440$

$n-2 = 1440/18 = 8$

$n = 8+2 = 10$

Science

Math

Humanities

... and beyond

How many sides are in a polygon whose sum of the interior angles is 1440?

1 Answer

Explanation:

Related questions

Impact of this question