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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
∠OAB = 35°
Then, ∠OBA = ∠OAB = 35°
In ∠AOB, by angle sum property
⇒∠AOB + ∠OAB + ∠OBA = 180°
⇒ ∠AOB = 180° - 35° - 35° = 110°
∴∠AOB + reflex ∠AOB = 360°
⇒ 110° + reflex ∠AOB = 360°
⇒ reflex ∠AOB = 360° -110° = 250°
By degree measure theorem reflex ∠AOB = 2
⇒250° = 2x
`⇒ x =( 250°)/2= 125°`
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