How do I go about doing this ?
Also, it says "Find the sum of the measures of the interior angles in the figure." (the figure is a 5-sided pentagon)
Any help ?
2006-11-10 01:44:48 · 5 answers · asked by kneegr0w_j0hn 2 in Science & Mathematics ➔ Mathematics
decagon=180*8=1440*
pentagon=180*3=540*
2006-11-10 02:08:20 · answer #1 · answered by raj 7 · 1⤊ 0⤋
The above answers are correct. I think of it like this. Connect all the vertices to a point in the interior (say, the centre if the polygon is regular).
You have now created the same number of triangles as there are sides. So for a decagon the sum of the angles in these triangles is 10 * 180º.
This includes all the interior angles but also the 360º around the central point, which should now be deducted.
2006-11-10 02:30:07 · answer #2 · answered by tringyokel 6 · 0⤊ 1⤋
One way to look at it is that a pentagon is a triangle that has 2 additional interior angles of 180 degrees each, right? Therefore, since a triangle has 180 degrees, a pentagon has 180+360=540 degrees worth of interior angles.
Or you could memorize:
180(n-2)
where n = # of sides
2006-11-10 02:06:13 · answer #3 · answered by Gary H 6 · 1⤊ 0⤋
Decagon - 1440 Octagon - 135
2016-05-22 02:38:04 · answer #4 · answered by ? 4 · 0⤊ 0⤋
ask bill gates
2006-11-10 01:51:36 · answer #5 · answered by BlueCherubi 2 · 0⤊ 2⤋