The diagram shows part of a regular 15-sided
polygon ABCDEF.... BC produced meets ED
produced at x.
X
B
E
(1) Find BCD and CD.
(ii) Determine whether AXBE isosceles.
(iii) Find ABE
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AB, BC and CD are three consecutive sides of a regular polygon and ∠BAC=15
o
,
In △BAC,AB=BC,
Therefore, ∠BCA=∠BAC=15
o
(Isosceles Triangle)
Now,
∠BCA+∠BAC+∠ABC=180
o
15
o
+15
o
+∠ABC=180
o
∠ABC=150
o
Each interior angle = 150
o
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