Question

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​

Answer 1

Answer:

ANSWER

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