What are the precise degree measurements of the angles in both a regular pentagon and a regular hexagon?
2006-11-27 13:49:59 · 9 answers · asked by Guru Kid 1 in Science & Mathematics ➔ Mathematics
For a pentagon: Divide 360/5 . Thats the measure of the apex of one triangle.(72) the other two angles are equal and complementary to the first (180-72 = 108. Each angle is 54)
There are 10 such 54 degree angles, so entire measure is 540.
Same procedure for hexagon. Don't try to memorize the formula, you'll forget it in a month.
2006-11-27 13:55:07 · answer #1 · answered by davidosterberg1 6 · 0⤊ 0⤋
I actually worked this out once. The difference between the angle and 180 degrees is equal to 360 degrees - the number of angles. So since there are 5 angles in a pentagon, the difference between the angle and 180 degrees is (360/5) = 72 degrees. So the angle is 108 degrees.
Similarly, the difference between the angle in a hexagon and 180 degrees is 60 degrees, so the angle is 120 degrees.
2006-11-27 13:54:07 · answer #2 · answered by Amy F 5 · 0⤊ 0⤋
In a regular pentagon, the angles measure 108 degrees each. In a regular hexagon, the angles measure 120 degrees each.
2006-11-27 13:52:53 · answer #3 · answered by Anonymous · 0⤊ 0⤋
the external angles of all polygon adds up to 360degrees.
internal angles is 180 minus internal angles.
so to answer your question,
regular pentagon = 5 sides
external angle=360/5= 72deg
internal angle=180-72=108deg
regular hexagon = 6 sides
ext angle= 360/6= 60deg
internal angle = 180-60 = 120deg
additional notes: you extend the sides of the polygon , the angle between the new line and the polygon is external angle. extend on left side of each sides only
2006-11-27 13:55:08 · answer #4 · answered by fred 1 · 0⤊ 0⤋
the easy answer for application is... >> the minimum amount of triangles that the figure can hold.
each triangle is 180 degrees.
so, rectangle is 360 (holds two triangles)
pentagon 540 (holds 3)
hexagon 720 (holds 4)
and so on.
edit: see other post for the answer to your question.... :D
2006-11-27 13:53:14 · answer #5 · answered by bad_ambassador 3 · 1⤊ 0⤋
angles added up in a closed convex shape always equal 360 degrees.
pentagon has 5 angles
360 / 5 = 72
hexagon 6 angles
360 / 6 = 60
2006-11-27 13:58:36 · answer #6 · answered by DanE 7 · 0⤊ 1⤋
pentagon 72
hexagon 60
2006-11-27 13:52:51 · answer #7 · answered by elfin420 4 · 0⤊ 1⤋
there 360 degrees in each one you get the indivual angles by deviding the angles into 360 and the devide that by two
2006-11-27 13:52:50 · answer #8 · answered by roy40372 6 · 0⤊ 1⤋
figure it out 360 degrees in a pentegon/hexegon how many sides do they have divide 360 by the number of side they have and theres the answer 5th grade work here
2006-11-27 13:51:57 · answer #9 · answered by Noodles 2 · 0⤊ 2⤋