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Question

In the given figure, O is the centre of the circle. If AOB=1400 and OAC=500; find:
OBC
1363546_70f9828b04524814bbfd550a2ac99a50.png

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Solution

Here, ACB=12Reflex of AOB

=12(360140)=110

(Angle at the centre is double the angle at the circumference subtended by the same chord)

Now, OA=OB (Radii of same circle)

OBA=OAB=1801402=20

CAB=5020=30

In CAB,

CBA18011030=40

OBC=CBA+OBA=40+20=60

'



1300028_1363546_ans_3394cd50bd0a4570b0b0dbf97da8808a.PNG

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