find the value of angle AOC
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140 DEGREEANSWER
Intheabovefigure
∠BAO=30and∠BCO=40......(1)
OA,OBandOCarediameterofcircle
HenceOA=OB=OC
Theanglesoppositetotheequalsidesareequal
⇒∠BAO=∠ABO
Similarly∠BCO=∠CBO
⇒∠ABO=30and∠CBO=40[From(1)]
Now∠ABC=∠ABO+∠CBO
⇒∠ABC=30+40=70.........(2)
∠AOC=2∠ABC
=2×70=140[From(2)]
HenceoptionBisrightanswer
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