AB and BC are two equal chords of a circle with centre
o. If ABC= 70°, find AOB.
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Answer:
Consider triangle AOB and triangle OCD
OA=OB=OC=OD=radius
∠AOB=∠DOC=70
In △OCD
OD=OC
∠ODC=∠OCD
∠OCD+∠ODC+∠DOC=180
2∠OCD=180
o
−70
o
∠OCD=55
o
=∠ODC
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