angle BAC = a , angel OBC = b and find a+b
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Answer:
a + b = 90 degree
Step-by-step explanation:
angle BAC = a ; angle OBC = b
2 (angle BAC ) = angle BOC ( angle subtended on the centre by a chord is double to the angle subtended by the same chord at the circumference )
So , angle BOC = 2a
In triangle OBC
OB = OC (radii of the circle)
Therefore ,
angle OBC =angle OCB
So angle OCB = b
In triangle OBC
Angle OBC + Angle OCB + Angle OBC = 180 (angle sum property )
2a + 2b = 180
Therefore ,
a+b=90 degree ANS
Hope it helped
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