Question

In the given figure, O is the centre of the circle in each figure. Find the value of x.
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Answer 1

Answer:

in the fig

OA=OB(radii)

therefore angleCAB=angle CBA=40°

similarly in triangleAOC

OAC=OCA=40°

Now,in triangleABC

angleA+ angleB+angleC=180°(angle sum property)

40°+40+x+40=180

thereforex=60°