Mathematics
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OpenStudy (highschoolmom2010):
Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.
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OpenStudy (highschoolmom2010):
OpenStudy (anonymous):
A
OpenStudy (highschoolmom2010):
can you explain how it is a
OpenStudy (gorv):
in any regular polygon angle formed by 2 consecutive radii equals to
=\[\frac{ 360 }{ n }*degree\]
OpenStudy (gorv):
n = no of sides in polygon
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OpenStudy (gorv):
for octagon =360/8=45 degree
OpenStudy (gorv):
|dw:1384847355931:dw|
OpenStudy (gorv):
as one angle is 45 degree
so sum of other two angle =180-45=135
OpenStudy (gorv):
as two sides are equal so the will made equal angle to third side.....or angle made by them will be equal..by properties of isosceles triangles
OpenStudy (gorv):
so angle made =135/2=67.5 degree
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OpenStudy (gorv):
we divide by 2 bcause both angle will be equal
OpenStudy (gorv):
x+x=135
2x=135
x=135/2=67.5degree
OpenStudy (gorv):
@highschoolmom2010
OpenStudy (highschoolmom2010):
i have no idea how to do this
OpenStudy (highschoolmom2010):
ok wait so how do i get the answer @rational
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OpenStudy (highschoolmom2010):
wait i got it nevermind
OpenStudy (rational):
good :) gorv explanation was nice =)
OpenStudy (highschoolmom2010):
yea i feel a little slow for not seeing that
OpenStudy (rational):
happens -.-
OpenStudy (gorv):
thanku @rational buddy