Question 132

BC is the centre of the circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of $$\angle{BAC}+\angle{OBC}$$ ?

Solution

As we know that angle through an arc on centre is double that of made on remaining arc.
Hence $$\angle{BOC}=2\angle{BAC} $$=2x (where x=$$\angle{BAC} $$)
and $$\angle{OBC}$$ would be 90-x
So $$\angle{BAC}+\angle{OBC}$$=90

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SSC CGL 2012 Tier 1

BC is the centre of the circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of $$\angle{BAC}+\angle{OBC}$$ ?

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