Question

Ok, so this worksheet says that a regular heptagon has 7 sides. So, would it have 7 angles, 4 diagonals, 5 triangles, and that the angle sum of the figure is 900 degrees. Am I right on those? But then it says to find the "Measure of each angle". Wouldn't it would be impossible, because all the angles are different, or did I do something wrong?

Answer 1

the measure of the internal angles in the heptagonis 900/7

correct on all else.

Answer 2

Thanks. Yeah I tried 900 divided by 7, but it kept going on and on and on and on and on. Unless I calculated wrong.

Answer 3

If it is regular, every angle is the same.

going around the outside clockwise you turn right 7 times and do 360 degrees total so each turn is 360/7 degrees
so each inside angle is 180 -(360/7)
= 128.57 deg approximately
that times 7 = 900 indeed

I see a lot more than 4 diagonals. I see four from the first corner, 3 from the second (with not repeats) etc
I have not tried to add up all the triangles. Perhaps you have a formula but I do not know it.

Answer 4

On the worksheet it showed an example, and for a quadrilateral it showed only 1 diagonal, so it didn't do all the diagonals or it would be 2, so I did only the diagonals from one corner, which is 4. I just now divided 900 by 7,(using a calculator) and the answer was 128.57142857142857142857142857143. So
I guess it would be 128.57 degrees. Thanks!!!!