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Question
Arcs AB and BC are of lengths in the ratio 11: 4 and O is centre of the circle. If angle BOC = 32°, angle AOB is:.
Options
64°
88°
128°
132°
MCQ
Fill in the Blanks
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Solution
88°
Explanation:
Given,
Arcs AB and BC are of lengths in the ratio 11 : 4.
∴ ∠AOB : ∠BOC = 11 : 4
⇒ ∠AOB : 32° = 11 : 4
⇒ `(∠AOB)/(32°) = 11/4`
⇒ ∠AOB = `11/4 × 32°` = 88°
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