Question

o is the centerof circle and A,B,C,D,E are point of circle AB=BC=CD=DE=EA= find angle AOB

Answer 1

All the five triangles so formed are congruent by SSS congruence

Therefore the angle subtended by the chords at the centre will be equal

angle AOB = angle BOC = angle COD= angle DOE = angle EOA

The total angle is 360

Thus 5 x angle AOB = 360 *

angle AOB = 360/5 = 72 *

simple :)

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Answer 2

I hope this might help