Circle Geometry (1 Viewer)

[Ali92l]

Suppose in a cirlce, you are given that Chords AB and AC are equal.

Can we infer that all Angles subtended by each of these chords at the circumference are all equal to eachother ?

I know the first rule says equal arcs subtend equal angles at the centre, however i want to know if it applies to angles subtended at the circumfrence ..

If this is true would i have to proove it? is it a law?


-All help is much appreciated

 

[Ali92l]

hmm


As the angle at the centre is common for both (equal chords) then all angles subtended by the chords are equal and twice the angles subtended at the centre

Yes I understand