What is the value of a? 192 96 101 200

The correct option is C. 101°

Step-by-step explanation:

For better explanation of the answer see the attached figure :

Since, Angle formed at the center is equal to the angle measure of its opposite arc

⇒ ∠AOD = 91°

Also, The angle formed in the segment is half the angle formed at the center of the circle

⇒ ∠DOB = 2 × ∠BCD

⇒ ∠DOB = 2 × 100°

⇒ ∠DOB = 200°

Now, ∠DOB = ∠BOD + ∠AOB

⇒ ∠AOB = 200 - 91

⇒ ∠AOB = 101°

Now, Angle formed at the center is equal to the angle measure of its opposite arc

⇒ a = ∠AOB

⇒ a = 101°

Hence, the correct option is C. 101°

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step-by-step explanation:

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