Question

in the figure O is the centre of the circle and angle BAC is equal to 40 degree find angle
OBC​

Answer 1

Answer:

50 must be the answer of your question

Answer 2

Answer:

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Area of Sector and Length of an Arc

O is the center of the circ...

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Asked on December 27, 2019 by

Roshna Bhatnagar

O is the center of the circle. If ∠BAC=50

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find∠OBC

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ANSWER

In a circle with centre at O

∠BAC=50

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∠BAC=50

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∠BOC=2∠BAC

=2(50

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)

=100

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[arc 100

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BC subtends ∠BOC at the centre and ∠BAC at remaining part of circle ]

△OBC,OB=OC=radius

⇒∠OBC=∠OCB

( opposite angles of equal sides of a △ )

Now ∠OBC+∠OCB+∠BOC=180

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[Sum of angles of a triangle ]

⇒∠OBC=∠OCB+180

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∠OBC=∠OCB+180

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−100

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2∠OBC=80

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∴∠OBC=40