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Mathematics 14 Online
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.

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

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

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

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

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