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प्रश्न
In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.
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उत्तर
Since, O is the circumcentre of \[\bigtriangleup ABC\], So, O would be centre of the circle passing through points A, B and C.
As OA = OB (Radii of the same circle)
\[\therefore \angle OAB = \angle OBA \left( \text{ Angle opposite to equal sides are equal } \right)\]
\[\text{ or } , \angle BAC = \angle OBA\]
\[\text{ From } \left( 1 \right)\]
\[\angle BAC + \angle OBC = 90°\]
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