2006-11-21 07:47:02 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
180 - 135 = 45
Now divide 360 by 45
360/45 = 120/15
= 8
The polygon is a regular octagon.
2006-11-21 15:00:05 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 1⤋
there are n triangles in the reg polygon
one angle of the triangle=(135/2)deg
there are two such angles =2*(135/2)deg
=135 deg
there are 180 deg in a triangle
therefore, angle of vertex at centre
=180-135 =45 deg
but one revolution=360 deg
45n =360
>>>>>>> n=8
therefore,we have an octagon
i hope that this helps
2006-11-22 03:36:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋
total degrees of the internal angles of a polygon
T=180(n-2) Where n is the number of sides
For this polygon the total number of degrees is
135n
so
135n=180(n-2)=180n-360 add 360 to each side
135n+360=180n subtract 135n
360=45n divide by 45
n=8
it is a regular octagon.
2006-11-21 07:55:22 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
180-135 = 45
360 / 45 = 8
8 sides, octogon
2006-11-21 07:49:45 · answer #4 · answered by bourqueno77 4 · 1⤊ 0⤋
135=180(n-2)/n
135n=180(n-2)
360=45n
n=8
2006-11-21 07:51:15 · answer #5 · answered by Dupinder jeet kaur k 2 · 0⤊ 0⤋
8 Dinlo
2006-11-21 07:51:33 · answer #6 · answered by bigmofokev 2 · 0⤊ 0⤋
curse you, bourque - you ruined my chance at another ten points by a mere minute
2006-11-21 07:51:14 · answer #7 · answered by Anonymous · 0⤊ 0⤋