Question

Use triangles to find the sum of the interior angle measures of the polygon.

Answer 1

Answer: 360 degrees.

Explanation:

For any polygon, finding the sum of the interior angles can be found using a simple formula:

`180(n-2)`

n is the number of sides, and there are four sides to this polygon.

`180(4-2); 180(2)=360`

Using triangles, we know the sum of the interior angles for any triangle is 180 degrees; if you imagine the polygon as two triangles put together, then you can easily add up the angle sums as 360, since two triangles with an interior angle sum of 180 will have a total of 360 degrees as the interior angle sum.