Angles in polygons

Screen Shot 2015-10-22 at 01.25.01We’ve done some really good maths investigation work this week finding out about angles in polygons using what we know about the angles in a triangle. We have discovered an interesting pattern that the number of triangles in a polygon is 2 less than its number of sides. We used this to find the sum of the angles in the polygon (e.g. a hexagon has 6 sides and 4 (= 6-2) triangles, so the sum of its angles is 4 x 180 degrees (= 720 degrees). If we had a regular hexagon, all six angles would be equal, so we could work out that they must be 720 divided by 6 = 120 degrees.

We enjoyed looking at the interactive polygon site and checking our ideas about angles in polygons. If you want to look at it, you will find it here.

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1 Response to Angles in polygons

  1. Snowy Owl says:

    Hi I’ve just been on the angles in polygons and I’ve got all the way up to 101 in the angles so it looks like a very detailed circle

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