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Question

If ABCDEF is a regular hexagon, then determine each other two angles of AFE?


A
45o
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B
300
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C
90o
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D
120o
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Solution

Since, each interion angle of regular polygon with n-sides =(n2)180n

Interior angles of a rectangle hexagon (6-sides)

=(62)1806

=4×30

=120

i.e., In rectangle hexagon ABCDEF,

AFE=120

In ΔAFE,

Since, AF=FE

AEF=FAE
AEF+EFA+FAE=180o
AEF+120o+FAE=180o
AEF+FAE=180o120o=60o
Since, AEF=FAE=(60o2)=30o
AEF=30o,
FAE=30o and from (1)
EFA=120.

Hence, Option B is correct.


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