Question

What is the value of b? A 76 B 106 C 120 D 224

Answer 1

Answer:

The correct option is C. 120°

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 = 104°

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

⇒ ∠DOB = 2 × ∠BAD

⇒ ∠DOB = 2 × 68°

⇒ ∠DOB = 136°

Now, ∠AOB = 360 - ∠BOD + ∠AOD

⇒ ∠AOB = 360 - 136 - 104

⇒ ∠AOB = 120°

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

⇒ b = ∠AOB

⇒ b = 101°

Hence, the correct option is C. 120°

Answer 2

68 + a = 180
a = 180 - 68
a = 112
b = 2(112) - 104
b = 224 - 104
b = 120

answer
C 120