Does anyone know how many angles there are in a hexagon?
2006-09-28 16:58:21 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Suppose a hexagon ABCDEF (name). It has angles : - ABC, BCD, CDE, DEF, EFA and angle FAB. It also has six more angles the exterior ones! The sum of the six interior angles should be 360 degrees.
2006-09-28 17:05:37 · answer #1 · answered by Ashu 3 · 0⤊ 1⤋
Hello! Not sure I'll have time to work on this but at least wanted to say hi =) edit Proving that 126 is correct reduces to 4cos^2 18 = 4cos^2 36 + 1 which is true. The first point is to notice that if 1 the length of the sides, then FC = 2 cos 18. To see this just take the symmetric of B with respect to AC. Call G that point then BFG is equilateral and then all angles can be worked out. in particular CGF is isoscels in G with angles 18 18 144. Now since angles in CED are 108 36 36, in order to check that 126 = 90 + 36 works, you just need to show that CEF is a right triangle at E. This follows from 4cos^2 18 = 4cos^2 36 + 1 that is CF^2 = CE^2 + FE^2.
2016-03-26 22:13:41 · answer #2 · answered by Anonymous · 0⤊ 0⤋
6 angles
2006-09-28 17:00:31 · answer #3 · answered by khotl73 2 · 1⤊ 0⤋
There are six (6) angles in a hexagon.
hexa- (or hex-) is a prefix from the Greek meaning "six".
2006-09-28 17:08:07 · answer #4 · answered by language is a virus 6 · 1⤊ 0⤋
6 angles 6 sides
http://mathforum.org/dr.math/faq/formulas/faq.regpoly.html#6
2006-09-28 17:38:50 · answer #5 · answered by Sherman81 6 · 1⤊ 0⤋
12 all together: 6 interior and 6 exterior.
2006-09-28 17:03:40 · answer #6 · answered by bruinfan 7 · 2⤊ 1⤋
SIX angles
2006-09-28 17:22:05 · answer #7 · answered by Nikki 2 · 1⤊ 0⤋
6?
2006-09-28 17:00:28 · answer #8 · answered by Anonymous · 0⤊ 1⤋
i think it is six
2006-09-28 17:00:37 · answer #9 · answered by liljov2 2 · 1⤊ 0⤋
six
2006-09-28 17:05:23 · answer #10 · answered by Aly 2 · 1⤊ 0⤋