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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
∠ABC = 40°
∠ACB = 90°
In ∠ABC, by angle sum property
∠CAB + ∠ACB + ∠ABC = 180°
⇒ ∠CAB + 90° + 40° = 180°
⇒ ∠CAB = 180° - 90°
⇒ ∠CAB = 50°
Now,
⇒COB = ∠CAB
⇒x = 50°
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