Question

If Angle BAC = 50° , find the value of Angle OBC​

Answer 1

Answer:

65

Step-by-step explanation:

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Answer 2

Answer:

step-by-step explanation:

Given:

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

To find

find∠OBC

Solution:

In a circle with centre at O

∠BAC=50°

∠BOC=2∠BAC

=2(50°)

=100°

[arc 100°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°

[Sum of angles of a triangle ]

⇒∠OBC=∠OCB+180°

∠OBC=∠OCB+180°−100°

2∠OBC=80°

∴∠OBC=40°