Mammoth Memory

WHY must a square add up to 360° (in pictures)

Because there are now 2 triangles in the square, each equaling 180∘, it must add up to 2×180°=360°

A square is 2 triangles so 2 x 180 is 360 degrees

The square can be made from 2 triangles.

 

Example 1

Even if you push over a side of a square the interior angle total stays the same

If you push over only one side of the square, the square's interior angles still add up to 360°.

90°+90°+110°+70°=360°

Again, we know this because this new shape is still made up of two triangles.

There are 2 triangles in this shape so the interior angles totals 360 degrees

And 2 triangles are 2×180=360°