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Question
If O is the centre of the circle, find the value of x in the following figure
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Solution
We have
∠ DBO = 40°
∠ DBC = 90°
⇒ ∠ DBO + ∠OBC = 90°
⇒ 40° + ∠OBC = 90°
⇒ ∠ OBC = 90° - 40° = 50°
By degree measure theorem
ÐAOC = 2ÐOBC
⇒ x = 2´ 50° = 100°
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