Question

O is center of circle angle OBC=40° find angle BAC ?? EXPLANATION PLEASE

Answer 1

angle OBC= angle OCB =40(OC and OB are equal because they are radius of the circle so opposite angle to OC and OB will be equal)

so, angle BOC = 180-(40+40) [angle sum property]
=180-80
=100 degree


angle BAC= half of angle BOC( Angle property of the circle : an angle subtended by any arch of the circle at the center is double the angle subtended by it at any point on the remaining part of the circle)

angle BAC = 50 degree.

I hope this helps.!

Answer 2

we can find angle obc=40 degree because ob=oc then we find angle boc by angle sum property angle boc=100 degree we know that the angle formed at centre is double the angle formed at circumference therefore angle bac =50 degree