Question

what is the value of AOC?​

Answer 1

Answer:

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)]

Step-by-step explanation:

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