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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