Question

if O is the centre of the circle angle abo=50 and Angle aco=20 find the measure of angle BOC

Answer 1

oc= oa= ob(radii)
so angleabo=angle 1 ( angle opposite to equal side are equal )
similarly angle aco= angle 2
so angle 1+ angle 2= 1/2 angle boc( double angle theorem in circles)
50+20= 1/2 angle boc
70×2= angle boc
140= angle boc

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